Recommended Scope and Sequence: AGS Pre-Algebra/ Algebra
August/September ~ Algebra & Whole Numbers
AGS Pre-Algebra
1.7 Arithmetic & Algebra
1.8 Representing Numbers Using Letters
1.9 Replacing Variables
Number Sense
7.1.2
CA State Standards
Correlated to AGS Pre-Algebra
Number Sense 7.1.2
Algebra & Functions 7.1.4
Mathematical Reasoning 7.2.1, 7.2.5, 7.3.2
Algebra & Functions 7.1.4
Mathematical Reasoning 7.2.5, 7.2.6
Number Sense 7.1.2
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1
AGS Algebra
1.1 Arithmetic & Algebra
1.2 Representing Numbers Using Letters
Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to
whole-number powers.
Algebra & Functions
7.1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that
represents a verbal description (e.g., three less than a number, half as large as area ).
7.1.4 Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.2.1 Use estimation to verify the reasonableness of calculated results.
7.2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
7.2.6 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with
evidence in both verbal and symbolic work.
7.3.2 Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
September ~ Using Decimals
AGS Pre-Algebra
Ch. 2 Application: Converting Measurements
CA State Standards
Correlated to AGS Pre-Algebra
AGS Algebra
Mathematical Reasoning 7.1.1, 7.3.2, 7.3.3
Measurement & Geometry 7.1.1, 7.2.4
September ~ Number Theory
AGS Pre-Algebra
3.6 Scientific Notation
CA State Standards
Correlated to AGS Pre-Algebra
Number Sense 7.1.1
Mathematical Reasoning 7.1.1, 7.2.6, 7.3.2
AGS Algebra
5.4 Computing in Scientific Notation
September ~ Rational Numbers & Fractions
AGS Pre-Algebra
4.7 Fractions - Unlike Denominators
Number Sense
7.1.1
7.1.2
7.2.2
CA State Standards
Correlated to AGS Pre-Algebra
AGS Algebra
Number Sense 7.1.2, 7.2.2
Algebra & Functions 7.1.3
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.2
Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using
scientific notation.
Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to
whole-number powers.
Add and subtract fractions by using factoring to find common denominators.
Algebra & Functions
7.1.3 Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative)
and justify the process used.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.1.3 Determine when and how to break a problem into simpler parts.
7.2.6 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support
solutions with evidence in both verbal and symbolic work.
7.3.2 Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
7.3.3
Develop generalizations of the results obtained and the strategies used and apply them to new problem situations.
Measurement & Geometry
7.1.1 Compare weights, capacities, geometric measures, times, and temperatures within and between measurement systems (e.g., miles
per hour and feet per second, cubic inches to cubic centimeters).
7.2.4 Relate the changes in measurement with a change of scale to the units used (e.g., square inches, cubic feet) and to conversions
between units (1 square foot = 144 square inches, 1 cubic inch is approximately 16.38 cubic centimeters).
October ~ Basic Operations & Rational Expressions
AGS Pre-Algebra
5.1 The Order of Operations
5.2 Evaluating Algebraic Expressions
5.3 Equations - Solution by Substitution
5.4 Solving Addition Equations
5.5 Solving Subtraction Equations
5.7 Simplifying by Addition
5.8 Simplifying by Subtraction
5.9 Multiplying Rational Expressions
Ch. 5 Application: Converting Measurements
CA State Standards
Correlated to AGS Pre-Algebra
AGS Algebra
Algebra & Functions 7.1.2
Mathematical Reasoning 7.1.1, 7.2.1, 7.3.2
Algebra & Functions 7.1.1, 7.1.2, 7.1.4
Mathematical Reasoning 7.1.1, 7.3.2
Algebra & Functions 7.1.4
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.1, 7.3.2
Algebra & Functions 7.1.3
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.1, 7.3.2
Algebra & Functions 7.1.1, 7.1.3
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.8, 7.3.1, 7.3.2
Algebra & Functions 7.1.3
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.2
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.2
2.11 Order of Operations
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.2, 7.3.2
Mathematical Reasoning 7.1.1, 7.2.2, 7.3.3
Measurement & Geometry 7.1.1, 7.2.4
8.3 Multiplying & Dividing Algebraic Fractions
3.3 Solving Equations: x + b = c
3.2 Solving Equations: x - b = c
8.6 Sums & Differences
8.6 Sums & Differences
Algebra & Functions
7.1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using
scientific notation.
7.1.2 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that
represents a verbal description (e.g., three less than a number, half as large as area ).
7.1.3
Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or
inequalities that represents a verbal description (e.g., three less than a number, half as large as area ).
7.1.4
Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.1.3 Determine when and how to break a problem into simpler parts.
7.2.1 Use estimation to verify the reasonableness of calculated results.
7.2.2 Apply strategies and results from simpler problems to more complex problems.
7.2.8 Make precise calculations and check the validity of the results from the context of the problem.
7.3.1 Evaluate the reasonableness of the solution in the context of the original situation.
7.3.2 Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
7.3.3 Develop generalizations of the results obtained and the strategies used and apply them to new problem situations.
Measurement & Geometry
7.1.1 Compare weights, capacities, geometric measures, times, and temperatures within and between measurement systems
(e.g., miles per hour and feet per second, cubic inches to cubic centimeters).
7.2.4 Relate the changes in measurement with a change of scale to the units used (e.g., square inches, cubic feet) and to conversions between
units (1 square foot = 144 square inches, 1 cubic inch is approximately 16.38 cubic centimeters).
November/December ~ Ratios, Proportions, & Percents
AGS Pre-Algebra
CA State Standards
Correlated to AGS Pre-Algebra
AGS Algebra
6.1 Ratios
Mathematical Reasoning 7.1.1, 7.2.6, 7.3.2
4.8 Ratio & Proportion
6.2 Proportions
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.1, 7.3.2
4.8 Ratio & Proportion
6.3 Ratios & Proportions
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.3.2
Number Sense 7.1.3
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.2
Number Sense 7.1.3, 7.1.6
Mathematical Reasoning 7.1.1, 7.2.6, 7.3.2
Number Sense 7.1.3, 7.1.7
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.1, 7.3.2
Number Sense 7.1.3
Algebra & Functions 7.1.1
Ch. 4 Application: Using Proportions
6.4 Percents & Fractions
6.5 Percents & Decimals
6.6 Finding the Percent of a Number
6.7 Finding the Percent
4.3 Using the Percent Equation
4.3 Using the Percent Equation
6.8 Percent of Increase and Decrease
6. 9 Formulas & Percents
Number Sense
7.1.3
7.1.6
7.1.7
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.2
Number Sense 7.1.3, 7.1.6, 7.1.7
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.2, 7.3.2
Number Sense 7.1.3, 7.1.6, 7.1.7
Algebra & Functions 7.1.1, 7.4.2
Mathematical Reasoning 7.1.1, 7.2.2, 7.3.2
4.4 Solving Distance , Rate and Time
Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.
Calculate the percentage of increases and decreases of a quantity.
Solve problems that involve discounts, markups, commissions, and profit and compute simple and compound interest.
Algebra & Functions
7.1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using
scientific notation.
7.4.2 Solve multi step problems involving rate, average speed, distance, and time or a direct variation.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.1.3 Determine when and how to break a problem into simpler parts.
7.2.1 Use estimation to verify the reasonableness of calculated results.
7.2.2 Apply strategies and results from simpler problems to more complex problems.
7.2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
7.2.6 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions
with evidence in both verbal and symbolic work.
7.3.1 Evaluate the reasonableness of the solution in the context of the original situation.
7.3.2 Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
.
January ~ Integers
AGS Pre-Algebra
7.1 The Real Number Line & Integers
7.2 Comparing Integers - Greater Than
7.3 Comparing Integers - Less Than
7.4 Even & Odd Integers
7.5 Adding Positive Integers
7.6 Adding Negative Integers
7.7 Subtracting Positive & Negative Integers
7.8 Multiplying by Positive Integers
7. 9 Multiplying by Negative Integers
7. 10 Dividing Positive & Negative Integers
Number Sense
7.1.2
7.2.5
CA State Standards
Correlated to AGS Pre-Algebra
Number Sense 7.2.5
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1,
Number Sense 7.2.5
Mathematical Reasoning 7.1.1,
Number Sense 7.2.5
Mathematical Reasoning 7.1.1,
Number Sense 7.1.2
Mathematical Reasoning 7.1.1,
Number Sense 7.1.2
Mathematical Reasoning 7.1.1,
Number Sense 7.1.2
Mathematical Reasoning 7.1.1,
Number Sense 7.1.2
Mathematical Reasoning 7.1.1,
Number Sense 7.1.2
Mathematical Reasoning 7.1.1,
Number Sense 7.1.2
Mathematical Reasoning 7.1.1,
Number Sense 7.1.2
Mathematical Reasoning 7.1.1,
AGS Algebra
1.3 Integers on the Number Line
7.2.5, 7.3.2
7.2.5, 7.3.2
7.2.5, 7.3.2
7.2.4, 7.2.8, 7.3.2
1.4 Adding Integers
7.2.4, 7.2.5, 7.3.1, 7.3.2
7.2.5, 7.3.1, 7.3.2
1.4 Adding Integers
1.5 Subtracting Integers
7.2.4, 7.2.5, 7.3.1, 7.3.2
1.6 Multiplying Integers
7.2.1, 7.2.5, 7.3.1, 7.3.2
7.2.5, 7.3.1, 7.3.2
1.6 Multiplying Integers
1.7 Dividing Positive & Negative Integers
7.2.4, 7.2.5, 7.3.1, 7.3.2
Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to
whole-number powers.
Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line;
and determine the absolute value of real numbers.
Algebra & Functions
7.1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using
scientific notation.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.2.1 Use estimation to verify the reasonableness of calculated results.
7.2.4
7.2.5
7.2.8
7.3.1
7.3.2
Make and test conjectures by using both inductive and deductive reasoning.
Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
Make precise calculations and check the validity of the results from the context of the problem.
Evaluate the reasonableness of the solution in the context of the original situation.
Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
February ~ Exponents, Square Roots, & the Pythagorean Theorem
AGS Pre-Algebra
8.1 Exponents
8.2 Multiplying with Exponents
8.3 Dividing with Exponents
8.4 Squares
8.5 Cubes
8.6 Square Roots
8.7 Irrational Numbers & Square Roots
8.8 Pythagorean Theorem
8. 9 More About Triangles
CA State Standards
Correlated to AGS Pre-Algebra
Number Sense 7.2.1, 7.2.3
Algebra & Functions 7.2.1, 7.2.2
Mathematical Reasoning 7.1.1, 7.2.2, 7.2.4, 7.2.6, 7.3.2
Number Sense 7.2.1, 7.2.3
Algebra & Functions 7.2.1, 7.2.2
Mathematical Reasoning 7.1.1, 7.2.4, 7.2.6, 7.3.2
Number Sense 7.2.1, 7.2.3
Algebra & Functions 7.2.1, 7.2.2
Mathematical Reasoning 7.1.1, 7.2.4, 7.2.6, 7.3.1, 7.3.2
Number Sense 7.2.3
Algebra & Functions 7.1.1, 7.2.1, 7.2.2
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1
Number Sense 7.2.3
Algebra & Functions 7.1.1, 7.2.1, 7.2.2
Mathematical Reasoning 7.1.1, 7.2.3, 7.2.5, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1
Number Sense 7.2.4
Algebra & Functions 7.1.1, 7.2.2
Mathematical Reasoning 7.1.1, 7.2.1, 7.2.5, 7.2.7, 7.3.2
Measurement & Geometry 7.1.2,
Number Sense 7.1.4, 7.2.4
Mathematical Reasoning 7.1.1, 7.2.1, 7.2.3, 7.2.7, 7.3.2
Number Sense 7.2.3
Algebra & Functions 7.1.1, 7.2.2
Mathematical Reasoning 7.1.1, 7.2.2, 7.2.5, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1, 7.3.3
Algebra & Functions 7.1.1, 7.2.2
Mathematical Reasoning 7.1.1, 7.2.2, 7.2.5, 7.3.2
AGS Algebra
1.10 Positive Exponents
1.10 Positive Exponents
1.10 Positive Exponents
2.9 Powers & Roots
2.9 Powers & Roots
2.9 Powers & Roots
2.10 More on Powers & Roots
3.9 Pythagorean Theorem
Measurement & Geometry 7.1.2, 7.2.1, 7.3.3
Number Sense
7.1.4
7.2.1
7.2.3
7.2.4
Differentiate between rational and irrational numbers.
.
Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base.
Multiply, divide, and simplify rational numbers by using exponent rules.
Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square,
determine without a calculator the two integers between which its square root lies and explain why.
Algebra & Functions
7.1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using
scientific notation.
7.2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication
by the multiplicative inverse. Simplify and evaluate expressions that include exponents.
7.2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial
with an integer exponent.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.2.1 Use estimation to verify the reasonableness of calculated results.
7.2.2 Apply strategies and results from simpler problems to more complex problems.
7.2.3 Estimate unknown quantities graphically and solve for them by using logical reasoning and arithmetic and algebraic techniques.
7.2.4 Make and test conjectures by using both inductive and deductive reasoning.
7.2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
7.2.6 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with
evidence in both verbal and symbolic work.
7.2.7 Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.
7.3.1 Evaluate the reasonableness of the solution in the context of the original situation.
7.3.2 Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
Measurement & Geometry
7.1.2 Construct and read drawings and models made to scale.
7.2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic threedimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders.
7.3.3 Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the
lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement.
March ~ Equations from Geometry
AGS Pre-Algebra
9.1 Perimeters of Polygons
9.2 Perimeters of Regular Polygons
9.3 Perimeters of Irregular Polygons
9.4 Areas of Rectangles & Squares
9.5 Areas of Triangles
9.6 Areas of Trapezoids & Parallelograms
9.7 Areas of Irregular Polygons
9.8 Volume
9. 9 Circumference & Areas of Circles
9. 10 Volumes of Cylinders & Spheres
CA State Standards
Correlated to AGS Pre-Algebra
AGS Algebra
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.5, 7.2.8, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.5, 7.2.8, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.5, 7.2.8, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.5, 7.2.8, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.5, 7.2.8, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.5, 7.2.8, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1, 7.2.2
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.2.8, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1, 7.2.2
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1, 7.2.3
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.1, 7.2.4, 7.2.5,
7.2.7, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1, 7.3.1
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.2.2, 7.2.5, 7.3.2
Measurement & Geometry 7.1.2, 7.2.1
Algebra & Functions
7.1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using
scientific notation.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
7.1.3
7.2.1
7.2.2
7.2.4
7.2.5
7.2.7
7.2.8
7.3.2
sequencing and prioritizing information, and observing patterns.
Determine when and how to break a problem into simpler parts.
Use estimation to verify the reasonableness of calculated results.
Apply strategies and results from simpler problems to more complex problems.
Make and test conjectures by using both inductive and deductive reasoning.
Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.
Make precise calculations and check the validity of the results from the context of the problem.
Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
Measurement & Geometry
7.1.2 Construct and read drawings and models made to scale.
7.2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic threedimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders.
7.2.2 Estimate and compute the area of more complex or irregular two-and three-dimensional figures by breaking the figures down into more basic
geometric objects.
7.2.3 Compute the length of the perimeter, the surface area of the faces, and the volume of a three-dimensional object built from rectangular solids.
Understand that when the lengths of all dimensions are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor
and the volume is multiplied by the cube of the scale factor.
7.3.1 Identify and construct basic elements of geometric figures (e.g., altitudes, mid-points, diagonals, angle bisectors, and perpendicular bisectors;
central angles, radii, diameters, and chords of circles) by using a compass and straightedge.
April ~ Coordinate Graphing
AGS Pre-Algebra
10.1 Graphing Equalities
10.2 Graphing Inequalities
10.3 Graphing Solutions of Equalities
10.4 Graphing Solutions of Inequalities
10.5 The Coordinate System - Locating Points
CA State Standards
Correlated to AGS Pre-Algebra
Algebra & Functions 7.1.5
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.2
Algebra & Functions 7.1.4, 7.1.5
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.26, 7.3.2
Algebra & Functions 7.1.1, 7.1.5
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.3.2
Algebra & Functions 7.1.1, 7.1.5
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.3.2
Algebra & Functions 7.1.1, 7.1.5
Mathematical Reasoning 7.1.1, 7.2.5, 7.26, 7.3.2
AGS Algebra
3.10 Inequalities on the Number Line
3.10 Inequalities on the Number Line
3.11 Solving Inequalities with One Variable
9.1 The Coordinate System
10. 6 The Coordinate System - Plotting Points
10.7 Determining the Points of a Line
10.8 Graphing Lines
10. 9 The Slope of a Line
10.10 Formula for the Slope of a Line
10.11 The Slope-Intercept Form of a Line
Algebra & Functions 7.1.1, 7.1.5
Mathematical Reasoning 7.1.1, 7.2.5, 7.26, 7.3.2
Algebra & Functions 7.1.5, 7.3.3, 7.3.4
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.26, 7.3.2
Algebra & Functions 7.1.5, 7.3.3, 7.3.4
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.1, 7.2.3,
7.2.5, 7.26, 7.27, 7.3.2
Algebra & Functions 7.1.5, 7.3.3, 7.3.4
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.3.2
Algebra & Functions 7.1.5, 7.3.3, 7.3.4
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.2, 7.2.5,
7.2.6, 7.3.2
Algebra & Functions 7.1.5, 7.3.3, 7.3.4
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.2, 7.2.3,
7.2.5, 7.2.6, 7.3.2
9.1 The Coordinate System
9.2 Graphing Equations
9.2 Graphing Equations
9.4 Slopes of Lines
9.4 Slopes of Lines
9.5 Writing Linear Equations
Algebra & Functions
7.1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using
scientific notation.
7.1.3 Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative) and
justify the process used.
7.1.4 Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly.
7.1.5 Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph.
7.3.3 Graph linear functions, noting that the vertical change (change in y- value) per unit of horizontal change (change in x- value) is always the same
and know that the ratio ("rise over run") is called the slope of a graph.
7.3.4 Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of
a circle). Fit a line to the plot and understand that the slope of the line equals the quantities.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.1.3 Determine when and how to break a problem into simpler parts.
7.2.1 Use estimation to verify the reasonableness of calculated results.
7.2.2 Apply strategies and results from simpler problems to more complex problems.
7.2.3 Estimate unknown quantities graphically and solve for them by using logical reasoning and arithmetic and algebraic techniques.
7.2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
7.2.6 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions
with evidence in both verbal and symbolic work.
7.2.7
7.3.2
Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.
Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
May ~ Geometry
AGS Pre-Algebra
CA State Standards
Correlated to AGS Pre-Algebra
AGS Algebra
11.1 Angles & Angle Measures
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.2
12.1 Angles & Angle Measures
11.2 Identifying & Classifying Angles
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.2
12.1 Angles & Angle Measures
11.3 Complementary & Supplementary Angles
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.1, 7.2.5,
7.2.7, 7.3.2
Algebra & Functions 7.1.1
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.3.2
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.2
12.1 Angles & Angle Measures
Mathematical Reasoning 7.1.1, 7.2.4, 7.2.5, 7.3.2
Measurement & Geometry 7.3.4
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.1, 7.3.2
Measurement & Geometry 7.3.4
Mathematical Reasoning 7.1.1, 7.2.5, 7.2.6, 7.3.2
12.6 Congruent & Similar Triangles
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.4, 7.2.5, 7.3.2
Measurement & Geometry 7.3.1
Mathematical Reasoning 7.1.1, 7.2.4, 7.2.5, 7.3.2
Measurement & Geometry 7.3.1
12.5 Quadrilaterals
11.4 Angle Measure in a Triangle
11.5 Naming Triangles
11. 6 Congruent Triangles
11.7 Similar Triangles
11.8 Parallelograms
11. 9 Quadrilaterals & Diagonals
11.10 Polygons & Diagonals
12.3 Angle Measures in a Triangle
12.4 Naming Triangles
12.6 Congruent & Similar Triangles
12.5 Quadrilaterals
Algebra & Functions
7.1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using
scientific notation.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.1.3 Determine when and how to break a problem into simpler parts.
7.2.1 Use estimation to verify the reasonableness of calculated results.
7.2.4 Make and test conjectures by using both inductive and deductive reasoning.
7.2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
7.2.6
7.2.7
7.3.1
7.3.2
Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions
with evidence in both verbal and symbolic work.
Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.
Evaluate the reasonableness of the solution in the context of the original situation.
Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
Measurement & Geometry
7.3.1 Identify and construct basic elements of geometric figures (e.g., altitudes, mid-points, diagonals, angle bisectors, and perpendicular bisectors;
central angles, radii, diameters, and chords of circles) by using a compass and straightedge.
7.3.4 Demonstrate an understanding of conditions that indicate two geometrical figures are congruent and what congruence means about the
relationships between the sides and angles of the two figures.
June ~ Data, Statistics, & Probability
AGS Pre-Algebra
12.1 Bar Graphs
CA State Standards
Correlated to AGS Pre-Algebra
AGS Algebra
Algebra & Functions 7.1.5
Statistics, Data Analysis, & Probability 7.1.1
Mathematical Reasoning 7.1.1, 7.2.6, 7.3.2
Algebra & Functions 7.1.5
Statistics, Data Analysis, & Probability 7.1.1
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.2
Measurement & Geometry 7.1.2
Statistics, Data Analysis, & Probability 7.1.1
Mathematical Reasoning 7.1.1, 7.2.5, 7.3.2
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.2
7.1 Organizing Data
Statistics, Data Analysis, & Probability 7.1.3
Mathematical Reasoning 7.1.1, 7.2.1, 7.2.7, 7.3.2
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.2
7.2 Range, Mean, Median, & Mode
Statistics, Data Analysis, & Probability 7.1.3
Mathematical Reasoning 7.1.1, 7.3.2
Statistics, Data Analysis, & Probability 7.1.1, 7.1.3
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.3.2
7.2 Range, Mean, Median, & Mode
12. 9 The Probability Fraction
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.2
7.4 The Probability Fraction
12.10 The Fundamental Principle of Counting
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.5, 7.3.2
7.8 The Fundamental Principle of Counting
12.2 Circle Graphs
12.3 Frequency Tables
12.4 Mean
12.5 Median
12. 6 Mode
12.7 Range
12.8 Box-and-Whiskers Plots
4.3 Using the Percent Equation
7.1 Organizing Data
7.2 Range, Mean, Median, & Mode
7.2 Range, Mean, Median, & Mode
7.3 Box-and-Whiskers Plots
Algebra & Functions
7.1.5 Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph.
Statistics, Data Analysis, & Probability
7.1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data
or to compare two sets of data.
7.1.3 Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.1.3 Determine when and how to break a problem into simpler parts.
7.2.1 Use estimation to verify the reasonableness of calculated results.
7.2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
7.2.6 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions
with evidence in both verbal and symbolic work.
7.2.7 Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.
7.3.2 Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
Measurement & Geometry
7.1.2 Construct and read drawings and models made to scale.
Summer Session ~ Various Topics & Skills Review
AGS Pre-Algebra
2.9 Repeating Decimals
CA State Standards
Correlated to AGS Pre-Algebra
AGS Algebra
Number Sense 7.1.5
Mathematical Reasoning 7.2.1, 7.2.3, 7.3.2
Mathematical Reasoning 7.1.1, 7.2.1, 7.2.4, 7.2.7,
7.2.8, 7.3.2
11.1 Rational Numbers as Decimals
3.2 Prime & Composite Numbers
Mathematical Reasoning 7.1.1, 7.2.5, 7.2.8, 7.3.2
6.1 Greatest Common Factor
3.4 Factoring
Algebra & Functions 7.1.1, 7.1.3
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.4, 7.3.2
2.5 The Distributive Property - Multiplication
2.6 The Distributive Property - Factoring
3.1 Divisibility Rules
4.8 Subtracting Fractions with Regrouping
4.9 Multiplying Fractions & Mixed Numbers
5.6 Complex Fractions
Number Sense 7.1.2, 7.2.2,
Algebra & Functions 7.1.3
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.2, 7.3.2
Number Sense 7.1.2,
Algebra & Functions 7.1.3
Mathematical Reasoning 7.1.1, 7.1.3, 7.2.8, 7.3.2
Algebra & Functions 7.1.3
Mathematical Reasoning 7.1.1, 7.1.3, 7.3.1, 7.3.2
Review: Place Value of Whole Numbers
8.4 Complex Fractions & the LCM
Review: Rounding Whole Numbers
Review: Exponents
Review: Order of Operations
Review: Place Value with Decimals
Review: Rounding Decimals
Review: Scientific Notation
Number Sense
7.1.2
7.1.5
7.2.2
Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to
whole-number powers.
Know that every rational number is either a terminating or repeating decimal and be able to convert terminating decimals into reduced fractions.
Add and subtract fractions by using factoring to find common denominators.
Algebra & Functions
7.1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using
scientific notation.
7.1.3 Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative) and
justify the process used.
Mathematical Reasoning
7.1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information,
sequencing and prioritizing information, and observing patterns.
7.1.3 Determine when and how to break a problem into simpler parts.
7.2.1 Use estimation to verify the reasonableness of calculated results.
7.2.2 Apply strategies and results from simpler problems to more complex problems.
7.2.3 Estimate unknown quantities graphically and solve for them by using logical reasoning and arithmetic and algebraic techniques.
7.2.4 Make and test conjectures by using both inductive and deductive reasoning.
7.2.5
7.2.7
7.2.8
7.3.1
7.3.2
Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.
Make precise calculations and check the validity of the results from the context of the problem.
Evaluate the reasonableness of the solution in the context of the original situation.
Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.