6 th Grade Math in Focus

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Austen Harmon
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1 6 th Grade Math in Focus Chapter 1: Positive Numbers the Number Line The Number Line Prime Factorization Common Factors Multiples Squares Square Roots Lesson 5 Cubes Cube Roots Represent whole numbers, fractions, decimals on a number line. Interpret write statements of inequality for two given positive numbers using the symbols > < Express a whole number as a product of its prime factors Find the common factors the greatest common factor of two whole numbers Find the common multiples the least common multiple of two whole numbers Find a square of a number Find a square root of a perfect square Find a cube of a number Find a cube root of a perfect cube Evaluate numerical expressions involving whole number exponents 6.NS.6 6.NS.7.a 6.NS.4 6.NS.4 6.EE.1 8.EE.2 8.EE.2 PA N N N N N N M06.B-E th Grade /Exposure Exposure Skill must be addressed but not mastered Chapter 2-Negative Numbers the Number Line Negative Numbers Absolute Value Use negative numbers to represent realworld quantities Represent, compare, order positive negative numbers on a number line Underst the absolute value of a number as its distance from 0 on the number line Interpret absolute value as magnitude for a positive or negative quantity in a real-world situation 6.NS.6 6.NS.6.a 6.NS.7.a 6.NS.7.b 6.NS.7.c 6.NS.7.d PA N N N N N /Exposure Chapter 3-Multiplying Dividing Fractions Decimals PA /Exposure 1 P age

2 Dividing Fractions Multiplying Decimals Dividing Decimals Fractions Decimals Divide a fraction, whole number, or mixed number by a fraction or a mixed number 6.NS.1 N Multiply a decimal by a decimal 6.NS.3 N Divide a whole number or a decimal by a decimal Solve problems involving fractions decimals 6.NS.2 6.NS.3 6.NS.1 6.NS.3 N N N th Grade Chapter 4-Ratio Comparing Two Quantities Equivalent Ratios Ratios Write ratios to compare two quantities Interpret ratios given in fraction form Use a ratio to find what fraction one quantity is for another or how many times as great one is as the other. Write equivalent ratios Write ratios in simplest form Compare ratios ratios 6.RP.1.d PA R /Exposure.a R R R Chapter 5-Rates Rates Unit Rates Rates Unit Rates Solve unit rate problems including unit pricing constant speed Solve problems involving rates unit rates 6.RP.2.b PA R R R R R /Exposure 2 P age

3 Chapter 6-Percent Understing Percent Fractions, Decimals, Percents Percent of Quantity Real- World Percent Lesson 5 Percent of Change Underst percent notation Write equivalent fractions, decimals, percents Write more equivalent fractions, decimals, percents.c.c PA Find the percent of a number.c Solve problems involving percent.c 7.RP.3 Solve problems involving percent increase decrease.c 7.RP.3 /Exposure Chapter 7- Writing Evaluating Simplifying Exping Factoring Lesson 5 Use variables to write algebraic expressions Evaluate algebraic expressions for given values of the variable Simplify algebraic expressions in one variable Recognize that the expression obtained after simplifying is equivalent to the original expression Exp simple algebraic expressions Factor simple algebraic expressions algebraic expressions 6.EE.2.a 6.EE.2.b 6.EE.2 6.EE.3 6.EE.4 6.EE.6 6.EE.2 6.EE.3 6.EE.4 6.EE.6 PA M06.B-E M06.B-E M06.B-E M06.B-E M06.B-E N M06.B-E M06.B-E N M06.B-E /Exposure 3 P age

4 Chapter 8-Equations Inequalities Solving Equations Writing Linear Equations Solving Simple Inequalities Equations Inequalities Solve equations in one variable 6.EE.5 Express the relationship between two quantities as a linear equation Use a table or graph to represent a linear equation Use substitution to determine whether a given number is a solution of an inequality Represent the solutions of an inequality on a number line Solve real-world problems by writing equations Solve real-world problems by writing inequalities 6.EE.7 6.EE.9 6.EE.5 6.EE.7 6.EE.7 6.EE.8 PA M06.B-E M06.B-E M06.B-E M06.B-E M06.B-E M06.B-E /Exposure Chapter 9-The Coordinate Plane Points on the Coordinate Plane Length of Line Segments Graphing Name locate points on the coordinate plane Draw identify polygons on the coordinate plane Find lengths of horizontal vertical line segments on the coordinate plane coordinates a coordinate plane equations a coordinate plane 6.NS.6 6.NS.6.c 6.NS.8.a.b 6.NS.8 PA N N N N R R N /Exposure Chapter 10-Area of Polygons PA /Exposure Area Use a formula to find the area of a 4 P age

5 of Triangles triangle 6.G.1 Area of Parallelograms Trapezoids Area of Other Polygons Area of Composite Figures Use a formula to find the area of a parallelogram, given its base height Use a formula to find the area of a trapezoid, given its bases height Divide polygons into triangles Find the area of a regular polygon by dividing it into smaller shapes Recognize that a plane figure is made up of polygons Solve problems involving areas of composite figures 6.G.1 6.G.1 6.G.1 Chapter 11-Circumference Area of a Circle Radius, Diameter, Circumference Area of a Circle Circles Identify parts of a circle Recognize that a circle s diameter is twice its radius Use formulas to find the circumference of a circle Identify semicircles quarter circles, find the distance around them Use formulas to calculate the areas of circles, semicircles, quadrants area circumference of circles semicircles, quadrants, composite figures 7.G.1 6.EE.1 7.G.4 7.G.4 PA M06.B-E /Exposure Chapter 12-Surface Area Volume of Solids Nets of Solids Surface Area of Solids Volume of Identify the nets of a prism a pyramid Identify the solid formed by a given net Find the surface area of a prism a pyramid 6.G.4 6.EE.1 6.G.4 Find the volume of a prism 6.EE.1 6.G.2 PA M06.C-G M06.C-G M06.C-G M06.C-G M06.C-G /Exposure 5 P age

6 Prisms Surface Area Volume Solve problems involving surface area volume of prisms 6.Ee.2.c 6.G.2 M06.C-G Chapter 13-Introduction to Statistics Collecting Tabulating Data Dot Plots Histograms Collect, organize, tabulate data 6.SP.1 6.SP.2 6.SP.5 6.SP.5.a 6.SP.5.b Display analyze data using a dot plot 6.SP.4 6.SP.5d Display analyze data using a histogram 6.SP.4 PA /Exposure Chapter 14-Measure of Central Tendency Mean Median Mode Mean, Median, Mode Find the mean of a set of data Use the mean of a set of data to solve problems Find the median of a set of data Use the median of a set of data to solve problems Find the mode of a set of data Use the mode of a set of data to solve problems Solve problems that are related to the concepts of mean, median, mode, including the selection of the measure of central tendency to be used for problems. 6.SP.2 6.SP.5 6.SP.5.a 6.SP.5.c 6.SP.3 6.SP.4 6.SP.3 PA M06.D-S M06.D-S /Exposure 6 P age

6 th Grade I Can Statements (Aligned to Common Core Math Standards)

6 th Grade I Can Statements (Aligned to Common Core Math Standards) Name: 6 - Number System Domain I can compute and solve word problems involving division of fractions. (NS.1) I can fluently divide multi-digit