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Common Core: Math
Topic: Common Core Learning Standards
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 Prior to division of decimals, students will revisit all decimal operations in Topic B. Students have had extensive experience of decimal operations to the hundredths and thousandths (5.NBT.7),...

 Student Outcomes Students use ordered pairs to name points in a grid and to locate points on a map. Students identify the first number in an ordered pair as the first coordinate and the second number...

 Student Outcomes Students write, interpret, and explain statements of order for rational numbers in the realworld. Students recognize that if a < b, then a > b, because a number and its...

 Student Outcomes While there is no physical way to divide two different quantities like (5 miles)/(2 hours), students make use of the structure of division and ratios to model (5 miles)/(2 hours) as...

 In Topic B, students apply their understanding of a rational number’s position on the number line (6.NS.C.6c) to order rational numbers. Students understand that when using a conventional horizontal...

 To begin this module, students are introduced to important identities that will be useful in solving equations and developing proficiency with solving problems algebraically. In Topic A, students...

 In Topic C, students extend their understanding of the ordering of rational numbers in one dimension (on a number line) to the twodimensional space of the coordinate plane. They construct the plane...

 Student Outcomes Students understand that each nonzero integer, a, has an opposite, denoted a; and that a and a are opposites if they are on opposite sides of zero and are the same distance from...

 Student Outcomes Students write expressions that record addition and subtraction operations with numbers.

 Student Outcomes Students find the percent of a quantity. Given a part and the percent, students solve problems involving finding the whole.

 Student Outcomes Students discover that 3x = x + x + x is not the same thing as x3 which is x times x times x. Students understand that a base number can be represented with a positive whole number...

 Student Outcomes Students use estimation and place value to determine the placement of the decimal point in products and to determine that the size of the product is relative to each factor. Students...

 Student Outcomes Through the use of arrays and partial products, students strategize and apply the distributive property to find the product of decimals.

 Student Outcomes Given a part and the percent, students find the percent of a quantity and solve problems involving finding the whole.

 Student Outcomes Students formally connect models of fractions to multiplication through the use of multiplicative inverses as they are represented in models.

 Student Outcomes Students model and write equivalent expressions using the distributive property. They move from an expanded form to a factored form of an expression.

 Student Outcomes Students find the least common multiple and greatest common factor and apply factors to the Distributive Property.

 Student Outcomes Students solve problems by analyzing different unit rates given in words, tables, equations, and graphs.

 Student Outcomes Students explain what the equality and inequality symbols stand for. They determine if a number sentence is true or false based on the given symbol.

 In Topic D, students become comfortable with new notations of multiplication and division and recognize their equivalence to the familiar notations of the prior grades. The expression 2 × b is...

 Student Outcomes Students demonstrate further understanding of division of fractions when they create their own word problems. Students choose a partitive division problem, draw a model, find the...

 Student Outcomes Students solve problems related to the distance between points that lie on the same horizontal or vertical line. Students use the coordinate plane to graph points, line segments and...

 Student Outcomes Students understand that, for instance, the opposite of 5 is denoted (5) and is equal to 5. In general, they know that the opposite of the opposite is the original number; e.g...

 Student Outcomes Students evaluate numerical expressions. They recognize that in the absence of parentheses, exponents are evaluated first.