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Common Core: Math
Subject: Math
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 In Topic C, students problemsolve with rational numbers and draw upon their work from Grade 6 with expressions and equations (6.EE.A.2, 6.EE.A.3, 6.EE.A.4, 6.EE.B.5, 6.EE.B.6, 6.EE.B.7). They...

 Students develop the rules for multiplying and dividing signed numbers in Topic B. They use the properties of operations and their previous understanding of multiplication as repeated addition to...

 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 understand that if a number sentence is true and we make any of the following changes to the number sentence, the resulting number sentence will be true: Adding the same...

 Student Outcomes Students perform various calculations involving rational numbers to solve a problem related to the change in an investment’s balance over time. Students recognize and use mathematics...

 Student Outcomes Students create equivalent forms of expressions in order to see structure, reveal characteristics, and make connections to context. Students compare equivalent forms of expressions...

 Student Outcomes Students create equivalent forms of expressions in order to see structure, reveal characteristics, and make connections to context. Students compare equivalent forms of expressions...

 Student Outcomes Students use tape diagrams to solve equations of the form px + q = r and p(x +q) = r , (where p, q, and r, are small positive integers), and identify the sequence of operations used...

 Student Outcomes Students use properties of operations to multiply and divide rational numbers without the use of a calculator. They use the commutative and associative properties of multiplication...

 Student Outcomes Students recognize that the rules for multiplying and dividing integers apply to rational numbers. Students interpret products and quotients of rational numbers by describing real...

 Student Outcomes Students understand that every rational number can be converted to a decimal. Students represent fractions as decimal numbers that either terminate in zeros or repeat, and students...

 Student Outcomes Students understand that the context of a reallife situation often determines whether a rational number should be represented as a fraction or decimal. Students understand that...

 Student Outcomes Students recognize that division is the reverse process of multiplication, and that integers can be divided provided the divisor is not zero. If p and q are integers, then  (p/q...

 Student Outcomes Students understand the rules for multiplication of integers and that multiplying the absolute values of integers results in the absolute value of the product. The sign, or absolute...

 Student Outcomes Students practice and justify their understanding of multiplication of integers by using the Integer Game. For example, 3 x 5 corresponds to what happens to your score if you get...

 Outcomes Students use properties of operations to add and subtract rational numbers without the use of a calculator. Students recognize that any problem involving addition and subtraction of rational...

 Student Outcomes Students use properties of operations to add and subtract rational numbers without the use of a calculator. Students recognize that any problem involving addition and subtraction of...

 Student Outcomes Students recognize that the rules for adding and subtracting integers apply to rational numbers. Given a number line, students use arrows to model rational numbers where the length...

 Student Outcomes Students justify the distance formula for rational numbers on a number line: If p and q are rational numbers on a number line, then the distance between p and q is p – q. Students...

 Student Outcomes Students justify the rule for subtraction: Subtracting a number is the same as adding its opposite. Students relate the rule for subtraction to the Integer Game: removing (...

 Student Outcomes Students understand the rules for adding integers: Add integers with the same sign by adding the absolute values and using the common sign. Add integers with opposite signs by...

 Student Outcomes Students understand addition of integers as putting together or counting up, where counting up a negative number of times is counting down. Students use arrows to show the sum of two...

 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 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,...