Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
MATH Pacing Guide 6TH GRADE Math Outcomes Outcome Month Taught Quarter Assessed Students will write and evaluate numerical expressions involving whole number exponents; compute the least common multiple and greatest common factor; and identify and apply the properties of operations to generate equivalent expressions. Students will identify parts of an algebraic expression; simplify, evaluate and create equivalent algebraic expressions by applying the properties of operations. Students will write, solve and check one-step equations with whole numbers. September 1 X October X OctoberNovember X Students will write and evaluate algebraic expressions involving decimals; and write and solve algebraic equations involving decimals. Students will evaluate algebraic expressions involving fractions; and write and solve algebraic equations containing fractions. Students will explain the meaning of positive and negative numbers and zero in real world contexts; graph, compare and order integers and rational numbers; write, interpret and explain statements of order for rational numbers. Students will write, solve, check, graph and interpret the solutions of 1-step inequalities. November X December X 6.8 6.1 6.2 6.3 6.4 6.5 6.6 2 3 4 January X February X Students will locate, graph and find distances of points to solve problems on the coordinate plane. FebruaryMarch X 6.9 Students will use ratio reasoning and proportions to solve problems. March X 6.10 Students will calculate the area, surface area and volume in real world and theoretical problems. Students will draw representations of three-dimensional figures and calculate side lengths of polygons drawn on a coordinate plane. April X 6.11 Students will recognize a statistical question; and describe, organize and display a set of data. May X 6.7 Updated 8-22-2013 6th Grade Standard Reference Code RP NS EE G SP Ratios & Proportional Relationships The Number System Expressions & Equations Geometry Statistics & Probability STANDARD REFERENCE Sixth Grade Purpose Unit Outcome MA.6.1 MA.6.1.1 MA.6.1.2 Components MA.6.1.3 MA.6.1.4 MA.6.1.5 Unit Outcome MA.6.2 MA.6.2.1 Components MA.6.2.2 MA.6.2.3 MA.6.2.4 Students will apply rational numbers to: compute area, perimeter, surface area and volume of geometric figures; evaluate, write and solve algebraic expressions, equations and inequalities; locate, graph and solve problems on the coordinate plane; ratio reasoning and proportions to solve problems; and analyze data. Students will write and evaluate numerical expressions involving whole number exponents; compute the least common multiple and greatest common factor; and identify and apply the properties of operations to generate equivalent expressions. Divide multi-digit whole numbers using the standard algorithm Write and evaluate numerical expressions, using the order of operations, involving whole number exponents Compute the least common multiple of two whole numbers less than or equal to 12 Compute the greatest common factor of two whole numbers less than or equal to 100 Identify and apply the properties of operations to generate equivalent expressions. Ex. Identify and apply the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum or two whole numbers with no common factor, such as 36+8 as 4(9+2) Students will identify parts of an algebraic expression; simplify, evaluate and create equivalent algebraic expressions by applying the properties of operations. Identify parts of an expression using mathematical terms Combine like terms to form equivalent expressions (y+y+y=3y) and identify equivalent expressions using substitution Apply the properties of operations to generate equivalent expressions. Ex. 24x+18y=6(4x+3y) Write and evaluate an algebraic expression, applying the order of operations, include expressions that arise from formulas used in real world problems. 6.NS.2 6.EE.1 6.NS.4 6.NS.4 6.NS.4 6.EE.2b 6.EE.3 6.EE.4 ACT.6.b12 6.EE.3 6.EE.4 6.EE.2a, 6.EE.2c ACT.6.a7 Unit Outcome MA.6.3 Components MA.6.3.1 MA.6.3.2 MA.6.3.3 MA.6.3.4 Unit Outcome MA.6.4 Components MA.6.4.1 Students will write and evaluate algebraic expressions involving decimals; and write and solve algebraic equations involving decimals. Add, subtract, multiply and divide multi-digit decimals MA.6.4.2 Write and evaluate algebraic and numerical expressions with decimals, applying the order of operations MA.6.4.3 Write and solve one step equations with decimals Unit Outcome MA.6.5 Components Students will write, solve and check one-step equations with whole numbers. Students will write, solve and check one-step addition equations with whole numbers. Students will write, solve and check one-step subtraction equations with whole numbers. Students will write, solve and check one-step multiplication equations with whole numbers. Students will write, solve and check one-step division equations with whole numbers. MA.6.5.1 MA.6.5.2 MA.6.5.3 Unit Outcome MA.6.6 MA.6.6.1 MA.6.6.2 MA.6.6.3 MA.6.6.4 Students will evaluate algebraic expressions involving fractions; and write and solve algebraic equations containing fractions. Compute quotients of fractions by fractions Evaluate algebraic and numerical expressions with fractions, applying the order of operations Write and solve one step equations with fractions involving all operations Students will explain the meaning of positive and negative numbers and zero in real world contexts; graph, compare and order integers and rational numbers; write, interpret and explain statements of order for rational numbers. Explain the meaning of positive and negative numbers and zero in real world contexts (e.g. opposite directions or values) Graph and compare (< > =) rational numbers on the number line Compare and order integers Write, interpret and explain statements of order for rational numbers in real-world contexts 6.EE.7 ACT.6.a8 6.EE.7 ACT.6.a8 6.EE.7 ACT.6.a8 6.EE.7 ACT.6.a8 6.NS.3 ACT.6.a1 6.EE.1 6.EE.2 6.EE.6 ACT.6.a7 ACT.6.b1 6.EE.5 6.EE.7 ACT.6.a8 6.NS.1 6.EE.1 6.EE.2a,c ACT.6.a7 6.EE.5,7 ACT.6.a8 6.NS.5 6.NS.6 6.NS.6a,b,c 7a,b,c,d 6.NS.7b Unit Outcome MA.6.7 MA.6.7.1 MA.6.7.2 MA.6.7.3 Unit Outcome MA.6.8 MA.6.8.1 MA.6.8.2 MA.6.8.3 Components Unit Outcome MA.6.9 MA.6.9.1 MA.6.9.2 MA.6.9.3 MA.6.9.4 MA.6.9.5 Unit Outcome MA.6.10 Components MA.6.10.1 MA.6.10.2 MA.6.10.3 MA.6.10.4 MA.6.10.5 Students will write, solve, check, graph and interpret the solutions of 1step inequalities. Write inequalities to represent a constraint or condition in real world or mathematical problems Use substitution to determine whether a given number makes an inequality true Solve, graph and interpret the solutions of one-step inequalities with nonnegative rational numbers of the form x>c, x<c, x≤c, x≥c Students will locate, graph and find distances of points to solve problems on the coordinate plane. Locate and graph points in all four quadrants of a coordinate plane involving whole numbers, fractions and decimals Solve real world and theoretical problems by graphing points on a coordinate plane Apply the concept of absolute value to find distances between points with the same first coordinate or the same second coordinate on a coordinate plane Students will use ratio reasoning and proportions to solve problems. Make a table of equivalent ratios, solve for missing values in the table Plot pairs of values from a table of equivalent ratios on the coordinate plane Use ratio and rate reasoning to solve unit rate problems including those involving unit pricing and constant speed Use proportions to solve problems to find the whole, given a part and the percent Use ratio reasoning to convert length, capacity, and weight measurement units across systems Students will calculate the area, surface area and volume in real world and theoretical problems. Students will draw representations of threedimensional figures and calculate side lengths of polygons drawn on a coordinate plane. Calculate side lengths of polygons drawn on the coordinate plane Calculate and apply the area of triangles, special quadrilaterals, and polygons in real world problems Draw nets of three dimensional figures made up of rectangles and triangles Calculate and apply the surface area of prisms and pyramids in real world problems Calculate and apply the volume of right rectangular prisms with decimal and fractional edges in real world problems 6.EE.8 6.EE.5 6.EE.5,8 6.NS.6b,c,8 ACT.6.a9 ACT.6.c12 6.NS.6b,c,8 ACT.6.a9 ACT.6.c12 6.NS.8 6.RP.3a 6.RP.3b 6.RP.3c,d 6.RP.3d 6.G.3 6.G.1 ACT.6.b16 6.G.4 6.G.4 6.G.2 Unit Outcome MA.6.11 MA.6.11.1 MA.6.11.2 MA.6.11.3 MA.6.11.4 MA.6.11.5 Students will recognize a statistical question; and describe, organize and display a set of data. Recognize a statistical question as one that anticipates variability Describe a set of data by its center, spread, and overall shape Find and describe the center and variation Organize and summarize numerical data sets in relation to their context Create number lines, dot plots, histograms, and box plots 6.SP.1 6.SP.2,5d 6.SP.3 6.SP.5b,c 6.SP.4