Math+Standards

=6th Grade:= //Quarter 1:// //M.6.1.1 Compute fluently with multi-digit numbers and find common factors and multiples// //M.6.1.2 Divide multi-digit numbers using the standard algorithm// //M.6.1.3 Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithm for each operation// //M.6.1.4 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.// //M.6.1.6 Interpret and compute quotients of fractions and solve world problems involving division of fractions by fractions.// //M.6.10 Understand ordering and absolute value of rational numbers.//

//Quarter 2:// //M.6.2.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.// //M.6.2.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b not equal to 0 and use rate language in the context of a ratio relationship.// //M.6.2.3 Use ratio and rate reasoning to solve real-world and mathematical problems.// //M.6.2.5 Find a percent of a quantity as a rate per 100//

=7th Grade:= //Quarter 1:// //M.7.1.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, represent addition and subtraction on a horizontal or vertical number line (Week 5)// //M.7.1.2 Describe situations in which opposite quantities combine to make zero (Week 6)// //M.7.1.3 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 zero (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. (Week 5, 6)// //M.7.1.4 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 of their differences and apply the principle in real-world contexts. (Weeks 5, 6)// //M.7.1.5 Apply properties of operations as strategies to add and subtract rational numbers. (Weeks 6, 7, 8, 9)// //M.7.1.6 Apply and extend previous understanding of multiplication and division and of fractions to multiply and divide rational numbers (Week 7, 8, 9)// //M.7.1.9 Apply properties of operations as strategies to multiply and divide rational numbers// //(Week 7, 8, 9)//

//Quarter 2:// //M.7.2.1 Compute unit rates associated with ratios of fractions including ratios of lengths, areas and other quantities measured in like or different units.// //M.7.2.2 Recognize and represent proportional relationships between quantities.// //M.7.2.3 Decide whether two quantities are in a proportional relationship.// //M.7.2.4 Identify the constant of proportionality in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships// //M.7.2.5 Represent proportional relationships by equations.//

=8th Grade:= //Quarter 1:// //M.8.2.1 Understand informally that every number has a decimal expansion; the rationals are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are irrational. (Weeks 5, 6)// //M.8.1.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram and estimate the value of expression (Week 7)// //M.8.2.2 Use square roots. Evaluate square roots of small perfect squares (Week 7) (Section 4-5; Page 182)// //Sections 11-2 through 11-6 (Week 8 - Week 9)// //M.8.2.7 Solve linear equations in one variable// //M.8.2.8 Give examples of linear equations in one variable with one solution// //M.8.2.9 Analyze and solve pairs of simultaneous linear equations// //M.8.2.11 Solve systems of two linear equations with rational number coefficients including equations whose solutions require expanding expressions using the distributive property//

//Quarter 2:// //Sections 11-2 through 11-6 (Week 10 - Week 14)// //M.8.2.7 Solve linear equations in one variable// //M.8.2.8 Give examples of linear equations in one variable with one solution// //M.8.2.9 Analyze and solve pairs of simultaneous linear equations// //M.8.2.11 Solve systems of two linear equations with rational number coefficients including equations which require expanding expressions using the distributive property// //Chapter 12: Graphing Lines (Week 15)// //M.8.3.1 Understand that a function is a rule that assigns to each input exactly one output (Weeks 14, 15) (Section 12-1; Page 632)// //Exponents: Page 162; Section 4-1; / HSPT Example: Page 288; #1, Pages 336-337; #3 and #5, Page 384; #178// //M.8.2.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions (Week 15) (Section 4-2; Page 166)// //M.8.2.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities (Section 4-4; Page 174)// //M.8.2.4 Perform operations with numbers expressed in scientific notation (Section 4-4; Page 174)// //M.8.2.2 Cont'd Use cube roots. Evaluate cube roots of small perfect cubes (Section 4-6 Lab; Page 192)//