7th- First 9 weeks
7th- First 9 weeks
This curriculum map is a constantly monitored and edited document by building specific administration and teachers. Changes may occur throughout the school year to stay updated with state requirements. Any questions regarding content should be directed towards the teacher of your child’s class or content area.
Unit 1 Integers, Absolute Value, Order of Operations
Unit 2 Order of Operations
Unit 3 Fractions
Unit 4 Expressions and Equations
7.C.1
*I can show the addition of integers on a number line.
*I can understand p + q as the number located from p, in the positive or negative direction.
*I can describe situations where opposite quantities combine to make zero.
*I can represent and explain how a number and its opposite have a sum of zero and are additive inverses.
7.C.2
*I can show subtraction of integers on a number line.
*I can explain that subtraction is equivalent to adding the additive inverse.
*I can represent how the distance between two rational numbers on a number line is the absolute value of their difference.
*I can subtract rational numbers in the context of a real-world problem.
7.C.3
*I can recognize and describe the rules when multiplying signed numbers.
*I can apply the distributive property to multiply rational numbers.
7.C.4
*I can understand the concept of dividing integers.
I can explain why integers cannot be divided when the divisor is zero.
*I can recognize and describe the rules when dividing signed numbers.
7.C.7
*I can add, subtract, multiply and divide with rational numbers.
7.C.8
*I can solve real-world problems by adding, subtracting, multiplying, and dividing rational numbers.
7.NS.1
*I can make and use factor trees to find the prime factorization of numbers.
*I can write the prime factorization of a composite number using exponents.
7.AF.1
*I can apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients.
*I can combine like terms to factor and expand linear expressions with rational coefficients using the distributive property.
*I can use properties of operations to write equivalent expressions.
*I can rewrite an expression in an equivalent form if needed.
*I can justify the steps taken to form equivalent expressions.
7.AF.2
*I can solve two-step real-world and mathematical problems using rational numbers.
*I can use variables to represent numbers in real-world or mathematical problems and make simple equations to solve problems.
7.AF.3
*I can use variables to represent numbers in real-world or mathematical problems and make simple inequalities to solve problems.
*I can graph and interpret the solution set of an inequality in the context of a problem.
*I can solve an inequality for an unknown value, without context.
7.NS.1:Find the prime factorization of whole numbers and write the results using exponents.
7.C.1: Understand p + q as the number located a distance |q| from p, in the positive or negative direction, depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
7.C.2: Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
7.C.3: Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers.
7.C.4:Understand that integers can be divided, provided that the divisor is not zero, and that every quotient of integers (with non-zero divisor) is a rational number. Understand that if p and q are integers, then –(p/q) = (–p)/q = p/(–q).
7.C.7:Compute with rational numbers fluently using a standard algorithmic approach.
7.C.8: Solve real-world problems with rational numbers by using one or two operations.
7.AF.1: Apply the properties of operations (e.g., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions, including situations that involve factoring (e.g., given 2x - 10, create an equivalent expression 2(x - 5)). Justify each step in the process.
7.AF.2: Solve equations of the form px + q= r and p(x + q) = r fluently, where p, q, and r are specific rational numbers. Represent real-world problems using equations of these forms and solve such problems.
7.AF.3: Solve inequalities of the form px +q (> or ≥) r or px + q (< or ≤) r, where p, q, and r are specific rational numbers. Represent real-world problems using inequalities of these forms and solve such problems. Graph the solution set of the inequality and interpret it in the context of the problem.
Please use Khan Academy videos as a resource.
Please use IXL for extra practice.
Please refer to my Canvas page additional notes and examples.