Common Core Standards Addressed in this Resource

Size: px

Start display at page:

Download "Common Core Standards Addressed in this Resource"

Derek Thornton
6 years ago
Views:

1 Common Core Standards Addressed in this Resource 6.RP.3 - Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Activity pages: 24, 25, 28 6.NS.4 - Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor. Activity page: 7 6.NS.7 - Understand ordering and absolute value of rational numbers. Activity page: 58 6.NS.8 - Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. Activity page: 60 6.EE.1 - Write and evaluate numerical expressions involving whole-number exponents. Activity page: 14 6.EE.2 - Write, read, and evaluate expressions in which letters stand for numbers. Activity pages: 15, 18 6.EE.3 - Apply the properties of operations to generate equivalent expressions. Activity page: 4, 5 7.RP.3 - Use proportional relationships to solve multistep ratio and percent problems. Activity page: 55 7.NS.3 - Solve real-world and mathematical problems involving the four operations with rational numbers. Activity page: 3, 6 7.EE.1 - Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Activity pages: 11, 12, 13, 20, 21, 54, 56 7.EE.4 - Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Activity pages: 16, 17, 19, 26, 27 8.EE.1 - Know and apply the properties of integer exponents to generate equivalent numerical expressions. Activity page: 29 8.EE.7 - Solve linear equations in one variable. Activity page: 22, 23, 30 N-RN.2 - Rewrite expressions involving radicals and rational exponents using the properties of exponents. Activity pages: 8, 9, 10 A-SSE.2 - Use the structure of an expression to identify ways to rewrite it. Activity pages: 34, 35, 36, 37 A-SSE.3 - Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. Activity pages: 38, 39, 40, 41 A-APR.1 - Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. Activity pages: 31, 32 A-APR.5 - Know and apply the Binomial Theorem for the expansion of (x + y) n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal s Triangle. Activity page: 33 A-APR.6 - Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system. Activity page: 47, 48, 49, 50, 51, 52, 53 A-REI.4 - Solve quadratic equations in one variable. Activity pages: 42, 43, 44, 45, 59

2 Reading Mathematics 3 2 = = 3 3 = 9 Recognizing mathematical symbols will make understanding mathematics much easier. Find the symbol, unit of measurement, or prefix that matches each expression. Shade the answers to find the symbolic expression for the circumference of a circle. 1. is an element of 11. the set containing 2. absolute value of y 12. one million 3. milligram 13. equivalent to 25% 4. pi least common multiple 15. kilometer 6. is a subset of 16. cube root 7. alpha 17. ray AB 8. is greater than 18. right angle in degrees 9. is not equal to 19. ratio of 2 to measure of angle C 20. brackets Circumference of a circle C =. Milliken Publishing Company 1 MP4050

3 Algebra Word Search There are 20 words here. Can you find them? N O G C Y L F I W U G E I E P Y T O O T J F P S T A E A N E W I N D V B T A I G W A C E I N M A C D N Z V W O Y X P D W X R A U L O N S I T L A E N L B T J W K J B S F A I F A E B O Z R M F I U H I I N E X Z U T U G P M S R S H O N H S U R N G J B Q A E J N A S G E F F O F C T X L L I J E R V H T X J E F A X M D T C H A A N K N R T N E I T O U Q I I V T U Z I I M O I I C M F A V X Y C J A Q T D F M M L U I E C N E R E F F I D L Z R O J O O L A S T V R E C I P R O C A L I R J N N U U N A A X T E S B U S D V P N P P Y O J P Y O P U C G K T B U I M H O B E L M N L F O I Q Q N A T U R A L R M O L O A J L N V X T M E R A M O Q E Y I L Q P U F E U Q U T A K O I F Z L H J A T R E D N I O K K K V R A O Z A I J R L Y X I T A Z K S V E F X P K F A G R S T F C O U W B W P Z G C Q O Q Y U O A S U Z I Here are the words to look for: algebra binomial difference equation exponent factor inequality integer inverse irrational monomial natural polynomial product quotient rational reciprocal subset sum trinomial Milliken Publishing Company 2 MP4050

Order of Operations with Integers 8 4 2 + 2 = 8 8 + 2 = 1+ 2 = 1 8 4 2 + 2 = 2 2 + 2 = 4 + 2 = 2 ultiplication ivision ddition ubtraction MY DEAR AUNT SALLY Do multiplication and division from left

4 Order of Operations with Integers = = 1+ 2 = = = = 2 ultiplication ivision ddition ubtraction MY DEAR AUNT SALLY Do multiplication and division from left to right. Division may come before multiplication. Then do addition and subtraction from left to right. Solve the problems. Write the answers in the cross-number puzzle. Across = = = = = = = = = Down = = = = = = = = Milliken Publishing Company 3 MP4050

Properties of Real Numbers a b = b a 6 2 = 2 6 4 = 4 a b = b a a + b = b + a 6 + 2 = 2 + 6 4 = 4 Understanding the properties of real numbers helps prevent careless errors.

5 Properties of Real Numbers a b = b a 6 2 = = 4 a b = b a a + b = b + a = = 4 Understanding the properties of real numbers helps prevent careless errors. Each of the following equations is an example of a real number property. Match the equation with the appropriate property. Use the code to uncover the name of one method of solving second degree equations. 1. a + b = b + a D Symmetric Property 2. a = a T Additive Identity 3. (a b) c = a (b c) O Associative Property of Addition 4. If a = b, then b = a M Multiplicative Identity 5. If a = b, and b = c, then a = c I Additive Inverse 6. a + 0 = 0 + a = a C Commutative Property of Addition 7. a + ( a) = 0 F Multiplicative Inverse 8. ab + ba U Transitive Property 9. a 1 a = 1; a 0 L Multiplicative Property of Zero 10. a + (b + c) = (a + b) + c R Reflexive Property 11. a 1 = 1 a = a Q Commutative Property of Multiplication 12. a 0 = 0 a = 0 A. Associative Property of Multiplication Milliken Publishing Company 4 MP4050

Common Core Standards Addressed in this Resource

Common Core Standards Addressed in this Resource.EE.3 - Apply the properties of operations to generate equivalent expressions. Activity page: 4 7.RP.3 - Use proportional relationships to solve multistep