7 th Grade Quarter 1 Curriculum Map 2013-2014 Unit 1: The Number System 1 st 9 Weeks Suggested Instructional Days: 20 Unit Summary (Learning Target/Goal): Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. CCSS for Mathematical Practice: 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Unit Timeline Standards Learning Expectation & Vocabulary Resources DISCOVERY TEST A (PRE ASSESSMENT): AUGUST 19-23 8 days Review & Pre-assessment Routines, procedures, review of absolute value basic computation and fraction The Number System Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 1 day 7.NS.1b Understand p + q as the number located a distance q from p in the positive or negative direction depending on whether is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational 3 days 7NS.1a Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. 7.NS.1b Understand p + q as the number located a distance q from p in the positive or negative direction depending on whether is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational 7.NS.1c Understand subtraction of rational numbers as adding the additive skills To compare and order integers Compare. Use <, >, or =. 9-4 To add and subtract integers The temperature in Caribou, Maine, was 8 F at noon. By 10:00 p.m. the temperature changed by - 8 F. Find the temperature at 10:00. integers positive negative opposites number line additive inverse addend sum difference 1-1 1-2 7 th Grade Math Quarter 1 1
7 th Grade Quarter 1 Curriculum Map 2013-2014 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 1.5 days 7.NS.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the, leading to products such as ( 1)( 1) = 1 and the rules for multiplying signed numbers. Interpret products of rational 7.NS.2b Understand that integers can To multiply and divide integers A scuba diver is 180 ft. below sea level and rises to the surface at a rate of 30 ft./minute. How long will the diver take to reach the surface? zero product property produce factors 1-3 2.5 days 7.NS.2d Convert a rational number to a Converting between fractions & decimals, terminating/repeating decimals terminating decimals repeating decimals quotient divisor 1-4 1 day 7.NS.2b Understand that integers can 7.NS.2d Convert a rational number to a Write 3/16 as a decimal, using long division. Write 0.965 as a fraction in simplest form. Compare and order rational numbers List from least to greatest: 3/2, 0.25, -3/4, -1.0 rational numbers numerator denominator 1-5 7 th Grade Math Quarter 1 2
7 th Grade Quarter 1 Curriculum Map 2013-2014 2 days 7.NS.2b Understand that integers can 7.NS.1c 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 7.NS.2d Convert a rational number to a Add and subtract rational numbers A diver climbs a 12 ft. tower and walks 6 3/4 ft to the end of the diving board. Then he jumps 5 1/2 ft above the board and dives into the water. The water level is 1 1/4 ft below the base of the tower. How far does the diver travel from the top of the dive to the water? mixed numbers improper fractions 1-6 ½ day 7.NS.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the, leading to products such as ( 1)( 1) = 1 and the rules for multiplying signed numbers. Interpret products of rational 7.NS.2b Understand that integers can 7.NS.2c Apply properties of operations as strategies to multiply and divide rational numbers 2 days 7.NS.2b Understand that integers can To multiply rational numbers Marta is conducting a science experiment. She changes the temperature of a chemical solution by -3/4 F each minute. What is the total change in the temperature of the chemical solution after 11 minutes? To divide rational numbers One can of iced tea holds 12 fl oz. A commutative property associative property reciprocal 1-7 1-8 7 th Grade Math Quarter 1 3
7 th Grade Quarter 1 Curriculum Map 2013-2014 7.NS.2c Apply properties of operations as strategies to multiply and divide rational numbers. 1 day 7.NS.1a, b, c, d 7.NS.2a, b, c, 7.NS.3 1 day 7.NS.1a, b, c, d 7.NS.2a, b, c, 7.NS.3 2-liter bottle holds 67 3/5 fl oz. How many cans of iced tea will you need to fill a 2-liter bottle. REVIEW Math 7 Q1 CFA#1 Discovery Education Assessment Unit 2: Expressions and Equations 1 st 9 Weeks Suggested Instructional Days: 20 Unit Summary (Learning Target/Goal): Use properties of operations to generate equivalent expressions. Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Unit Timeline Standards Learning Expectation & Vocabulary Resources Expression and Equations Use properties of operations to generate equivalent expressions. Solve real-life and mathematical problems using numerical and algebraic expressions and equations 3 days 7.EE.4 Use variables to represent 5 days 7.EE.1: Apply, factor, and expand linear expressions with rational coefficients. 4 days 7.EE.4 Use variables to represent Write and evaluate algebraic expressions Write a word phrase for the expression a-5. Write an expression for the word phrase five times a number. Simplify algebraic expressions using properties of operations Simplify the expression: 9-2a 3a+8+a- Solve one-step equations by adding, subtracting, multiplying, or dividing; Properties of Equality, inverse operations Solve the equation: d + 261.9 = - variable algebraic expression order of operations equations like terms coefficient terms properties of equality inverse operations solution 2-1 2-2 2-3 7 th Grade Math Quarter 1 4
7 th Grade Quarter 1 Curriculum Map 2013-2014 REFLECTION/NOTES: 1 day 7.EE.4 Use variables to represent 3 days 7.EE.4a: Write & evaluate expressions with two operations and to solve 2-step equations using number sense. 7.EE.3: Solve the two-step equations using inverse operations and the 2 days 7.EE.3: Solve the two-step equations using inverse operations and the 7.EE.4a: Write & evaluate expressions with two operations and to solve 2-step equations using number sense. 48 Write and evaluate 2-step equations A fitness club advertises a special for new members. Each month of membership is $19, with an initial enrollment fee of $75. Write an expression for the total cost. Then evaluate your expression for 8 months. Use inverse operations to solve 2- step equations You earn $20 per hour landscaping a yard. You pay $1.50 in bus fare each way. How many hours must you work to earn $117? Use to solve equations of the form p(x+q) -8(x+2)=-10 2 days All standards Review for Interim Assessment 1 INTERIM ASSESSMENT 1: OCTOBER 7-18 2-4 2-5 2-6 7 th Grade Math Quarter 1 5