Hoosic Valley Central School District
Core Curriculum Topics
Grade: Five
Subject: Math
First Semester Units to be covered:
Place value
Comparing and ordering whole numbers and decimals
Adding and subtracting whole numbers and decimals
Rounding
Estimating sums and differences
Estimating products
Multiplying whole numbers and decimals
Constants, Variables and expressions
Algebraic relationships
Estimating quotients
Dividing with one and two digits divisiors
Dividing money and decimals by whole numbers
Factors and divisibility
Prime and composite numbers
Measure and draw angles using a protractor
Classify triangles by angles and sides
Second Semester Units to be covered:
Continue geometry
Interior angle of a triangle
Similar and congruent triangles – ratio of corresponding sides
Quadrilaterals – properties, interior angles
Symmetry
Equivalent fractions
GCF
Simplify fractions
Compare and order fractions
Improper fractions and mixed numbers
Add and subtract fractions
Ratio, percent
Plot points in first quadrant
Calculate perimeter on coordinate plane
Order of operation
One step equation using inverse operation
Probability of single event/list outcomes
Record probability using fractions/ratios
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Curriculum Outline (Pre-March Performance Indicators)
Number Sense and Operations
Read, write, compare, and order whole numbers to millions
Round numbers the nearest hundredth and up to 10,000
Read, write, compare, and order decimals to the thousandths
Understand the place value structure and base ten number system
Estimate sums, differences, products, and quotients of decimals
Add subtract, multiply, and divide decimals to thousandths
Multiply three-digit by three-digit numbers
Divide three-digit dividends by one and two-digit divisors
Identify factors of a given number
Identify prime and composite numbers
Create equivalent fractions, given a fraction
Find the common factors and the greatest common factor of two numbers
Simplify fractions to lowest terms
Compare and order fractions including unlike denominators
Convert improper fractions to mixed numbers and mixed to improper
Add and subtract mixed numbers with like denominators
Understand the concept of ratio
Express ratios in different forms
Understand that percent means part of 100. Write percents as fractions and
decimals
Evaluate an arithmetic expression using order of operations including
mult., div., add, sub., add., and parentheses
Geometry
Measure and draw angles using a protractor
Classify triangles by properties of their angles and sides
Know that the sum of the interior angles of a triangle is 180 degrees
Find a missing angle when given two angles of a triangle
Identify corresponding parts of congruent triangles
Identify pairs of similar triangles
Identify pairs of congruent triangles
Classify quadrilaterals by properties of their angles and sides
Know that the sum of the interior angles of a quadrilateral is 360 degrees
Identify the ratio of corresponding sides of similar triangles
Identify and draw lines of symmetry of basic geometric shapes
Algebra
Define and use appropriate terminology when referring to constants, variables,
and algebraic expressions
Create and explain algebraic relationships
Create algebraic or geometric patterns using concrete objects or visual drawings
Evaluate the perimeter formula for given input values
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Probability and Statistics
Collect and record data from a variety of sources
Formulate conclusions and make predictions form graphs
Display data in a line graph to show an increase or decrease over time
Calculate the mean for a given set of data and use to describe a set of data
Measurement
Determine the tool and technique to measure with and appropriate
level of precision
Identify customary equivalent units of length
Use a ruler to measure to the nearest half, quarter, and eighth inch
Measure to the nearest centimeter
Calculate the perimeter of regular and irregular polygons
Convert measurement with a given system
Identify equivalent metric units of length
Determine personal references for metric units of length
Determine personal references for customary units of length
Justify the reasonableness of estimates
Justify the reasonableness of answers using estimation
Curriculum Outline (Post-March Performance Indicators)
Geometry
Identify and plot points in the first quadrant
Plot points to form basic geometric shapes
Calculate perimeter of basic geometric shapes drawn on a coordinate plane
Algebra
>
Translate simple verbal expressions into algebraic expressions
Solve simple one-step equations using basic whole number facts
Solve and explain simple one-step equations using inverse operations
involving whole numbers
Substitute assigned values into variable expressions and evaluate using order of
operations
Probability and Statistics
Determine the probability of a single event, given a simple experiment List the possible
outcomes for a single-event experiment Record experiment results using fractions/ratios
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Hoosic Valley Central School District
Core Curriculum Topics
Grade: Six
Subject: Math
First Semester Units to be covered:
Whole numbers
Fractions
Decimals
Expressions
Equations
Exponents
Order of Operations
Properties of +, -, x, ÷
Metrics
Capacity
Standard measurements
Graphs: pictograph, bar, line, histogram, circle
Tables
Estimation
Second Semester Units to be covered:
Proportions
Percents
Rates
Ratios
Rational Numbers
Absolute value
Integers
Formulas for area, volume, circumference
Geometry, regular and irregular polygons
Plot points in 4 quadrants
Venn diagrams
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Hoosic Valley Central School District
Core Curriculum Topics
Grade: Seven
Subject: Math
First Semester Units to be covered:
Communicating with data
-trends and relationships in data
-bar graphs
-line graphs
-stem and leaf
-scatterplots, etc.
Algebra
-1 and 2 step equations
Integers
-with exponents (pos.& neg.) and scientific notation (square roots)
Number sense
-rational numbers, irrational numbers
Inequalities
-solves algebraically (graphing inequalities)
Geometry and measurement
Geometry
-solids, circles, transformations
Probability
Second Semester Units to be covered:
Scale drawing maps and scales (metric)
Percents/proportions (word problems)
Ratios and rates
Pythagorean theorem
Algebra
-multi step equations (dist. prop, combine like terms)
Polynomials
-monomials
Fractions
-tables, charts, etc
Estimations
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Hoosic Valley Central School District
Core Curriculum Topics
Grade: Seven/Eight
Subject: Math
First Semester Units to be covered:
Data analysis
-Box whiskers
-Stem and leaf, etc
Integers
1 step Algebra
2 step Algebra
Inequalities – graphs
Word problems
Linear equations
-slope
-coordinate axis
Ratios and proportions
Percents
Rational and Irrational numbers
Geometry and measurement
Second Semester Units to be covered:
Area and volume
Similarity, congruence and transformations
Counting and probability
Fractions
Polynomials
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Hoosic Valley Central School District
Core Curriculum Topics
Grade: Eight
Subject: Math
First Semester Units to be covered:
Sum of interior angles of a triangle
Evaluating expressions using exponents
Drawing a pattern from a data table
Creating algebraic patterns using charts/tables, graphs and expressions
Writing an equation to represent a function from a table
Multi-step equations – writing and solving
Translating verbal sentences into equations and inequalities
Solving multi step equations by combining like terms, using dist. prop.
Finding a set of ordered pairs to satisfy a linear equation
Solving proportions, setting up proportions to solve problems
Unit conversion
Unit pricing
Distance rate, time problems
Percents, percent increase, % decrease, sales tax, discount, commission
Geometry terms and angles – vertical angles, alternate interior angles
Corresponding angles, alternate exterior angles
Complementary and supplementary angles
Using Algebra to solve for x given a set of algebraic expressions
Pythagorean Theorem applications
Second Semester Units to be covered:
Polynomial Operations – add. sub. multi. div. mononomials and polynomials
Develop laws of exponents for multiplication and division
Product of 2 binomials
Factoring polynomials to find GCF
Transformation – reflection, rotation, translation, dilation
Factoring trinomials
Graphing linear equations
Slope intercept form of an equation
Solving systems of equations graphically
Solving inequalities by graphing
Domain and range
Test to determine if a relation is a function
Distinguishing whether a graph is linear or non-linear
Estimation
Constructions – ruler and compass
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Hoosic Valley Central School District
Core Curriculum Topics
Grade: Eight
Subject: Math
First Semester Units to be covered:
Graphing
Exponents
Equations
Algebra
Linear Equations
Inequalities
Proportions
Percents
Pythagorean formula
Geometry
Second Semester Units to be covered:
Geometry
Algebra
Polynomials
Linear Equations
Inequalities
Factoring
Transformation Geometry
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