Unit Title Key Concepts Vocabulary CCS Unit 1 Writing and Evaluating s Unit 2 Writing and Solving Equations s and Equations Write numerical expressions Evaluate numerical expressions Write algebraic expressions Use correct vocabulary to identify parts of an expression Evaluate specific values for variables Identify equivalent expressions Create equivalent expressions Write numerical and algebraic expressions to represent real world situations Understand that a variable represents an unknown number Solve an equation or inequality as a process of answering a question Know that the solution set of an equation or inequality are the vales that make the equation or inequality true Use substitution to identify which vales make an equation or inequality true Write equations for both real world and mathematical problems containing one variable. Solve one step equations (real world and mathematical) Use variables to represent unknown quantities Identify the relationship between independent and dependent variables Algebraic Arithmetic Coefficient Difference Evaluate Exponent Factor Numerical Operations Product Associative Commutative Distributive Quotient Sum Term Variables Dependent Variable Equation Independent Variable Inequality Nonnegative Rational Set Solution Solve Substitution 6.EE.1 6.EE.2 6.EE.3 6.EE.4 6.EE.6 6.EE.5 6.EE.7 6.EE.9 Time Allotted August September (4 weeks)
Unit 3 Ratios and Rates Unit 4 Solving Problems with Ratios and Unit Rates Unit 5 Percentages and Measurement Conversions CMA 1 Ratios, Rates and Unit Rates Write ratios three different ways (to, :, or /) Know that orders matters when writing a ratio Use ratios to determine relationship between two quantities Use ratios to interpret rates Convert ratios/rates to unit rates Use ratios, rates and unit rates in real world context Create tables of equivalent ratios Identify missing values in a table of equivalent ratios Plot pairs that represent equivalent ratios on a graph Use tables to compare ratios Solve real world problems involving unit prices Solve real world problems such as speed with tables, diagrams and/or equations Find a percent of a number as a rate per 100 Find the whole when given a part and a percent of both real world and mathematical problems Use previous knowledge of ratios to convert measurement units Ratios Ratio Rate Ratio Rate Ratio Ratio Percent Ratio 6.RP.1 6.RP.2 6.RP.3 6.RP.3 October November December Unit 6 Factors and Multiples CMA 2 The Number System Determine Greatest Common Factor of two whole numbers Determine Least Common Multiples of two whole numbers Use Distributive to rewrite addition Greatest Common Factor Least Common Multiple Distributive 6.NS.4 January (2 weeks)
Unit 7 Operations with Fractions and Decimals Unit 8 Graphing Rational problems by using previous understanding of factors Compute quotients of fractions divided by fractions Interpret quotients of fractions Solve word problems by dividing fractions by fractions Add multi-digit decimals Subtract multi-digit decimals Multiply multi-digit decimals Divide multi-digit decimals Practice speed and accuracy with the operations listed above Know that negative numbers are found to the left of zero on a number line Know that positive numbers are found to the right of zero on a number line Use integers to represent real world situations Know and explain the meaning of zero in real world situations Identify opposites on a number line (5 and -5) Recognize that zero is neutral and therefore has no opposite Identify all four quadrants of the coordinate plane Plots points using ordered pairs on a coordinate plane Identify reflections on a coordinate plane Use number lines to graph inequalities Parentheses Brackets Braces Numerical Evaluate Simple Calculation Interpret Decimal Decimal Place Denominator Fraction Mixed Number Numerator Product Quotient Tiling Visual Fraction Model Absolute Value Integer Magnitude Negative Number Opposite Ordered Pair Positive Number Quadrant Rational Reflection 6.NS.1 6.NS.2 6.NS.3 6.NS.5 6.NS.6 6.NS.7 January/ February February (1.5 weeks)
Know that absolute value is the distance from a number to zero on the number line Use absolute value in real world situations Unit 9 2D Geometry CMA 3 Geometry Essential Question: How does geometry better describe objects? Find the area of triangles by decomposing rectangles Find the area of rectangles by composing triangles Use the techniques of composing and decomposing shapes to calculate the area of various quadrilaterals and polygons Draw polygons in a coordinate plane when given coordinates for vertices Use coordinates to find side lengths of polygons on a coordinate plane Draw polygons on coordinate plane and find side lengths to solve real world and mathematical problems Solve problems by graphing points in all four quadrants of the coordinate plane Use coordinate and absolute value to determine distances between points Absolute Value Area Compose s Decompose Ordered Paire Parallelogram Polygon Quadrant Quadrilateral Rectangle Right Triangle Vertex X-coordinate Y-coordinate 6.G.1 6.G.3 6.NS.8 February/ (2 weeks) Unit 10 3D Geometry Calculate the volume of a right rectangular prism Apply volume formulas for right rectangular prisms to solve real world and mathematical problems Represent three dimensional figures using nets made of rectangles and triangles Use nets to find surface area of three dimensional figures Solve real world and mathematical problems Area Base Cubic unit Height Nets Pyramid Right Rectangular Prism Surface Area Tetrahedron Triangular 6.G.2 6.G.4
Unit 10 Statistical Data and Questioning Unit 11 Measures of Central Tendency using three dimensional nets Statistics and Probability Determine whether a question is or is not statistical Recognize and analyze distributions in a set of data Know that data has variability Recognize that mean, median and mode describes values for a data set Determine mean, median and mode of data sets Determine range, inter-quartile and mean absolute deviation for data sets Create a dot plot with given data Create a box plot with given data Create a histogram with given data Describe data being collected Determine the effect of an outlier Determine which measure of center (mean, median, or mode) nest represents the data Prism Volume Distribution Outlier Spread Variability Box Plot Center Distribution Dot Plot Histogram Mean Absolute Deviation Mean Median Mode Range Inter-quartile Range Outlier Spread Variability 6.SP.1 6.SP.3 6.SP.2 6.SP.4 (1 week) April Possibly 1 week of May