Seventh Grade Pre-Algebra A Curriculum Map

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Curriculum Map (7th Grade Pre Algebra A)
Course Understandings
Essential Questions
Assessments
Course Knowledge/Skills
First Quarter
Students will
understand:
How do you interpret or read
graphs?
Data Analysis
Will the students be able to
use place value to compare,
order, and round
inequalities, fractions,
decimals, and percents?
Place Value and
Estimation
Fractions, Decimals
Converting Decimals,
Fractions, and Percents
Will the students be able to
compute fractions with the
different operations?
Will the students be able to
compute decimals using the
different operations?
Will the students be able to
convert decimals, fractions,
percents?
Diagnostic Assessment
Students’ prior knowledge will be
assessed with warm-up problems
Students’ knowledge will be assessed
through teacher questioning.
Formative
Test on data analysis and central
tendency
Test on ordering and comparing decimals
and place value
2.5.7.A: Develop a plan to analyze a problem, identify the
information needed to solve the problem, carry out the plan,
apply estimation skills as appropriate, check whether the plan
makes sense, and explain how the problem was solved in
grade appropriate contexts.
2.5.7.B: Use appropriate mathematical language, notation,
and representations, including numerical tables, expressions,
and equations; including formulas, charts, graphs, and
diagrams to explain and interpret results.
2.6.7.A: Identify different ways of selecting a sample and
choosing an appropriate sampling technique for a given
situation.
Test on adding subtracting, multiplying,
and dividing fractions
2.6.7.B: Organize and display data using an appropriate data
display, such as circle graphs, histograms, line graphs,
double bar graphs, and stem-and-leaf plots, Venn diagrams,
tables, and charts.
Test on adding subtracting, multiplying,
and dividing decimals
2.6.7.C: Use numerical summaries to describe different sets
of data.
Test on converting decimals, fractions,
and percents
2.6.7.D: Use measures of central tendency and spread to
compare data sets.
Summative
2.6.7.E: Interpret trends and make predictions based on data
displayed in a graph.
1st quarter test on data analysis, central
tendency, ordering and comparing
decimals and fractions, operations with
fractions and decimals, and converting
decimals/fractions/percents
Benchmark
4-sight test
2.7.7.B: Organize data collected in an experiment and select
an appropriate format to display the data.
2.1.7.D: Apply place value concepts to order and compare
decimals; use the number line to order and compare
decimals, fractions, mixed numbers, and/or integers.,
2.2.7.D: Estimate solutions of problems involving calculations
with basic operations of whole numbers, decimals, fractions,
or mixed numbers and check the reasonableness of those
estimates.
2.2.7.B: Add, subtract, multiply, and divide whole numbers,
decimals, fractions, mixed numbers, or integers.
Second Quarter
Students will
understand:
Integers and Order of
Operations
Ratios and Proportions
Converting Units of
Measure
Converting Units of
Measure
Similar and Congruent
Figures
Will the students be able to
identify the steps in the order
of operations?
Will the students be able to
apply the rules of integers to
add/subtract problems?
Will the student be able to
use ratio and proportions to
solve problems?
Will the student be able to
use ratios and proportions to
compare scale figures?
Diagnostic Assessment
Students’ prior knowledge will be
assessed with warm-up problems
2.2.7.C: Use the order of operations to evaluate numerical
expressions., 2.2.7.B: Add, subtract, multiply, and divide
whole numbers, decimals, fractions, mixed numbers, or
integers.
Students’ knowledge will be assessed
through teacher questioning.
2.8.7.B: Evaluate and simplify algebraic expressions and
solve and graph linear equations and inequalities.
Formative
2.1.7.C: Use ratio and proportion to model relationships
between quantities.
Test on order of operations
Test on adding and subtracting integers
Test on solving ratios and proportions
Will the students be able to
complete problems
converting and using
operations for units of
measure?
Test on converting units of measure
Will the students be able to
complete problems
converting and using
operations for units of
measure?
2nd quarter test on order of operations,
adding and subtracting integers, solving
ratios and proportions, converting units of
measure, and similar and congruent
shapes
What makes shapes similar
and congruent?
Test on similar and congruent shapes
Summative
2.1.7.F: Understand the concepts of ratio, proportion,
percents, and rates to determine unknown quantities in
equations.
2.3.7.D: Use conversions to add and subtract measurement
quantities within the metric and within the customary
systems.
2.3.7.D: Use conversions to add and subtract measurement
quantities within the metric and within the customary
systems.
2.1.7.C: Use ratio and proportion to model relationships
between quantities.
2.1.7.F: Understand the concepts of ratio, proportion,
percents, and rates to determine unknown quantities in
equations.
2.3.7.E: Select and/or use an appropriate scale for creating
enlarged or reduced representations.,
2.5.7.A: Develop a plan to analyze a problem, identify the
information needed to solve the problem, carry out the plan,
apply estimation skills as appropriate, check whether the plan
makes sense, and explain how the problem was solved in
grade appropriate contexts.
2.5.7.B: Use appropriate mathematical language, notation,
and representations, including numerical tables, expressions,
and equations; including formulas, charts, graphs, and
diagrams to explain and interpret results.
2.11.7.B: Describe and use the relationship of data shown in
a graph; solve problems involving a constant rate of change.
Third Quarter
Students will
understand:
Lines, Perimeter, Area,
and Circles
Coordinate System,
Patterns, and Function
tables
Probability
Language of Algebra &
Integers
Will the students be able to
apply the correct formula to
calculate the solution to a
geometric problem?
Diagnostic Assessment
Will the students be able to
identify patterns and rules,
given a portion of the
existing pattern?
Students’ knowledge will be assessed
through teacher questioning.
Will students be able to plot
points accurately on a given
coordinate system?
Students’ prior knowledge will be
assessed with warm-up problems
Formative
Test on choosing the correct formula to
solve geometric questions
How do students determine
the different types of
probability?
Test on patterns and finding rules.
Will students be able to
differentiate between the
different properties of
arithmetic?
Test on probability
Will students be able to
multiply and divide integers?
Will students be able to
solve inequalities?
Test on the coordinate system
Test on arithmetic properties
Test on multiplying and diving integers
Test on solving inequalities
Summative
2.3.7.B: Develop strategies for and use appropriate units to
determine lengths, areas, and perimeters of compound
shapes.
2.3.7.C: Use measurement formulas to calculate volume,
area, and perimeter and to calculate circumference and area
of circles.
2.1.7.F: Understand the concepts of ratio, proportion,
percents, and rates to determine unknown
quantities in equations.
2.5.7.A: Develop a plan to analyze a problem, identify the
information needed to solve the problem, carry out the plan,
apply estimation skills as appropriate, check whether the plan
makes sense, and explain how the problem was solved in
grade appropriate contexts.
2.5.7.B: Use appropriate mathematical language, notation,
and representations, including numerical tables, expressions,
and equations; including formulas, charts, graphs, and
diagrams to explain and interpret results.
2.8.7.B: Evaluate and simplify algebraic expressions and
solve and graph linear equations and
inequalities.
2.8.7.D: Determine a functional rule from given data or a
situation.
3rd quarter test on qeometric questions,
patterns, coordinate system, probability,
arithmetic properties, multiplying and
dividing integers, and solving inequalites
2.11.7.B: Describe and use the relationship of data shown in
a graph; solve problems involving a constant rate of change.
Benchmark
2.8.7.F: Interpret the results of solving equations and
inequalities in one variable in the context of the
situation that motivated the model.,
4-Sight Test
2.11.7.A: Compare and order rational numbers; identify the
maximum and/or minimum values of a set of numbers.
2.11.7.B: Describe and use the relationship of data shown in
a graph; solve problems involving a constant rate of change.
2.2.7.C: Use the order of operations to evaluate numerical
expressions.
2.2.7.B: Add, subtract, multiply, and divide whole numbers,
decimals, fractions, mixed numbers, or integers.,
2.8.7.B: Evaluate and simplify algebraic expressions and
solve and graph linear equations and inequalities.
Fourth Quarter
Students will
understand:
Add, Subtract, Multiply,
and Divide Integers
Solve equation…single
through multistep
Square Roots
Pythagorean Theorem
How and when can the
Pythagorean Theorem help
us to calculate the length of
a segment without directly
measuring it?
How can adding,
subtracting, multiply, and
dividing integers apply to
everyday life?
Diagnostic Assessment
Students’ prior knowledge will be
assessed with warm-up problems
Students’ knowledge will be assessed
through teacher questioning.
Formative
Test on Pythagorean Theorem
Test on operations with integers
Test on square roots
Summative
4th quarter test on the Pythagorean
Theorem, operations with integers, and
square roots
Benchmark
4-Sight Test
2.2.7.B: Add, subtract, multiply, and divide whole numbers,
decimals, fractions, mixed numbers, or integers.,
2.8.7.F: Interpret the results of solving equations and
inequalities in one variable in the context of the situation that
motivated the model.,
2.1.8.B: Represent and use numbers in equivalent forms
(e.g., integers, fractions, decimals, percents, exponents,
scientific notation, square roots, absolute values).,
2.10.8.A: Compute measures of sides and angles using
proportions, the Pythagorean Theorem, and
right triangle relationships.
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