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Common Core: Math
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 Grade 7 Mathematics Module 1: Ratios and Proportional Relationship In this 30day Grade 7 module, students build upon sixth grade reasoning of ratios and rates to formally define proportional...

 Grade 7 Module 2: Rational Numbers In Grade 6, students formed a conceptual understanding of integers through the use of the number line, absolute value, and opposites and extended their...

 Grade 7 Module 3: Expressions and Equations This module consolidates and expands upon students’ understanding of equivalent expressions as they apply the properties of operations to write expressions...

 Student Outcomes Students compute unit rates associated with ratios of quantities measured in different units. Students use the context of the problem to recall the meaning of value of a ratio,...

 Grade 7 Module 4: Percent and Proportional Relationships In Module 4, students deepen their understanding of ratios and proportional relationships from Module 1 by solving a variety of percent...

 Grade 7 Module 5: Statistics and Probability In this module, students begin their study of probability, learning how to interpret probabilities and how to compute probabilities in simple settings. ...

 In Topic A, students examine situations carefully to determine if they are describing a proportional relationship. Their analysis is applied to relationships given in tables, graphs, and verbal...

 Grade 7 Module 6: Geometry In Module 6, students delve further into several geometry topics they have been developing over the years. Grade 7 presents some of these topics, (e.g., angles, area,...

 Student Outcomes Students understand that two quantities are proportional to each other when there exists a constant (number) such that each measure in the first quantity multiplied by this constant...

 Student Outcomes Students add positive integers by counting up and negative integers by counting down (using curved arrows on the number line). Students play the Integer Game to combine integers,...

 Student Outcomes Students identify the same value relating the measures of x and the measures of y in a proportional relationship as the constant of proportionality and recognize it as the unit rate...

 Student Outcomes Students examine situations to decide whether two quantities are proportional to each other by checking for a constant multiple between measures of x and measures of y when given in...

 In Topic A, students return to the number line to model the addition and subtraction of integers (7.NS.A.1). They use the number line and the Integer Game to demonstrate that an integer added to its...

 Student Outcomes Students examine situations to decide whether two quantities are proportional to each other by checking for a constant multiple between measures of x and measures of y when given in...

 Student Outcomes Students use the constant of proportionality to represent proportional relationships by equations in real world contexts as they relate the equations to a corresponding ratio table...

 Student Outcomes Students generate equivalent expressions using the fact that addition and multiplication can be done in any order (commutative property) and any grouping (associative property)....

 In Topic B, students learn that the unit rate of a collection of equivalent ratios is called the constant of proportionality and can be used to represent proportional relationships with equations of...

 Student Outcomes Students examine situations carefully to decide whether two quantities are proportional to each other by graphing on a coordinate plane and observing whether all the points would...

 Student Outcomes Students decide whether two quantities are proportional to each other by graphing on a coordinate plane and observing whether the graph is a straight line through the origin....

 Student Outcomes Students model integer addition on the number line by using horizontal arrows; e.g., an arrow for is a horizontal arrow of length pointing in the negative direction. Students...

 Student Outcomes Students use ratio tables and ratio reasoning to compute unit rates associated with ratios of fractions in the context of measured quantities such as recipes, lengths, areas, and...

 Student Outcomes Students use the constant of proportionality to represent proportional relationships by equations in real world contexts as they relate the equations to a corresponding ratio table...

 Student Outcomes Students understand that an equation is a statement of equality between two expressions. Students build an algebraic expression using the context of a word problem and use that...

 Student Outcomes Students consolidate their understanding of equations representing proportional relationships as they interpret what points on the graph of a proportional relationship mean in terms...