6.RP – Ratios & Proportional Relationship Measurement Topic: Rates & Ratios Learning Targets *6.RP.Ai- I understand ratio. Variables & Patterns Comparing & Scaling *6.RP.Aii- I understand rate. Variables & Patterns Comparing & Scaling *6.RP.Aiii – I can use ratio & rate reasoning to model problems. Variables & Patterns Comparing & Scaling *6.RP.Aiv – I can use ratio & rate reasoning to solve real-world problems. Bits 3 Variables & Patterns Comparing & Scaling
I can solve problems with…
I can apply my knowledge to…
¨ a / b with b ≠ 0 ¨ a : b
¨ Use ratio language to describe the relationship between two quantities in context.
¨ Unit rates (non-complex fractions)
¨ Use rate language to describe the relationship between two quantities in context.
¨ ¨ ¨ ¨
¨ Plot points from a table on the coordinate plane.
Tables of equivalent values Tape Diagrams Double Number Lines Equations
¨ ¨ ¨ ¨
Solve problems involving unit pricing. Solve problems involving constant speed. Find a percent of a quantity as a rate per 100. Use ratio reasoning to convert measurement units.
* = Major Cluster www.achievethecore.org, SBAC – all claims www.smarterbalanced.org ^ = SBAC – Claim #2: Problem Solving u= SBAC – Claim #4: Modeling & Data Analysis (Performance Tasks & Technology models) o = SBAC – Claim #3: Communicating Reasoning (SMP#3)
6.NS – The Number System Measurement Topic: Fractions, Decimals, Factors & Multiples. Learning Targets
I can solve problems with…
*6.NS.Ai – I can fluently model the multiplication and division of rational numbers. Bits 2 6.NS.Aii – I can fluently complete operations with rational numbers. Bits 2 6.NS.B – I can find common factors and multiples. Prime Time Bits 2
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I can apply my knowledge to…
Fractions divided by fractions using: ¨ Fraction models ¨ Equations
¨ Add & subtract multi-digit decimals using the standard algorithm. ¨ Multiply & divide multi-digit decimals using the standard algorithm.
¨ Solve real-world problems involving multiplication and division.
¨ Greatest Common Factor (GCF). ¨ Least Common Multiple (LCM). ¨ Distributive Property.
¨ Find the GCF of two whole numbers less than or equal to 100. ¨ Find the LCM of two whole numbers less than or equal to 12. ¨ Use the distributive property to factor out the GCF: 12 + 24 = 12(1 + 2).
Measurement Topic: Positive & Negative Numbers Learning Targets *6.NS.Ci – I can understand positive and negative numbers on a number line.
I can solve problems with… ¨ Positive and negative numbers with opposite directions.
¨ Use positive and negative numbers to represent real-world quantities, explaining the meaning of 0.
¨ Rational numbers on a vertical or horizontal number line. ¨ Positive and negative ordered pairs graphed on a coordinate plane.
¨ See the relationship between ordered pairs that differ only by signs as reflections across one or both axis.
¨ Interpret inequalities as statements of the position of numbers on a number line. ¨ Absolute value on a number line. ¨ Absolute value to find distances on a coordinate plane when one of the coordinates is the same.
¨ Write, interpret and explain statements of order of rational numbers in real-world contexts. ¨ Interpret absolute value of a rational number in real-world contexts. ¨ Solve real-world problems by graphing in all four quadrants of the coordinate plane.
Variables & Patterns *6.NS.Cii – I can represent positive and negative numbers on a number line. Variables & Patterns *6.NS.Ciii – I can order and interpret the absolute value of rational numbers. Variables & Patterns
I can apply my knowledge to…
* = Major Cluster www.achievethecore.org, SBAC – all claims www.smarterbalanced.org ^ = SBAC – Claim #2: Problem Solving u= SBAC – Claim #4: Modeling & Data Analysis (Performance Tasks & Technology models) o = SBAC – Claim #3: Communicating Reasoning (SMP#3)
¨ Translate expressions to words and vice versa. ¨ Evaluate expressions. • Use mathematical terms to identify parts of an expression, including: ¨ Sum ¨ Factor ¨ Term ¨ Quotient ¨ Product ¨ Coefficient
¨ Write and evaluate numerical expressions involving whole number exponents. ¨ Solve real-world problems using the order of operations that includes exponents.
¨ Use variables to represent an unknown number or any number in a set. ¨ Understand that the solution for an equation is the value(s) that make the equation true. ¨ Use substitution to determine if a value is a solution.
¨ Write equations & expressions using variables to represent unknown quantities in real-world situations. ¨ Use equations of the form x+p = q and px = q where x, p, & q are all nonnegative rational numbers.
¨ Understand that the solution for an inequality is the value(s) that make the inequality true. ¨ Understand that x < c & c > x has infinitely many solutions. ¨ Represent solutions to an inequality on a number line diagram.
¨ Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world problem. ¨ Use substitution to determine if a value is a solution.
*6.EE.C – I can explain dependent and independent variables in context.
¨ Use variables to represent two quantities in a real-world problem that change in relationship to one another.
¨ Analyze the relationship between the dependent and independent variables using graphs and tables and relate these to the equation. ¨ Write an equation to express the dependent variable in terms of the independent variable.
Variables & Patterns
* = Major Cluster www.achievethecore.org, SBAC – all claims www.smarterbalanced.org ^ = SBAC – Claim #2: Problem Solving u= SBAC – Claim #4: Modeling & Data Analysis (Performance Tasks & Technology models) o = SBAC – Claim #3: Communicating Reasoning (SMP#3)
6.G – Geometry Measurement Topic: Area, Volume, & Surface Area Learning Targets ^w6.G.Ai – I can solve problems by modeling 2-D shapes and finding their area.
I can …
I can apply my knowledge to…
¨ Find the area of polygons by composing into rectangles. ¨ Find the area of polygons by decomposing into triangles and other shapes. ¨ Use coordinates to find the length of a side with one common coordinate.
¨ Solve real-world problems involving area of complex shapes. ¨ Draw polygons in the coordinate plane given coordinates of the vertices.
¨ Apply the formula: V = lwh. ¨ Apply the formula: V = bh. ¨ Represent 3-D figures using nets to find surface area.
¨ Find the volume of a right rectangular prism with fractional edge lengths using a visual module. ¨ Apply surface area and volume in real-world and mathematical contents.
Learning Targets
¨ I know…
¨ I can apply my knowledge to…
^w7.G.B – I can find the area and circumference of a circle.
¨ Formula for area of a circle. ¨ Formula for circumference of a circle.
¨ Solve problems involving area and circumference of a circle. ¨ Explain and use models to demonstrate how area and circumference of a circle are related. ¨ Solve real-world problems involving the area of two-dimensional composite shapes.
Covering & Surrounding Variables & Patterns ^w6.G.Aii – I can solve problems by modeling 3-D shapes and finding their surface area and volume. Covering & Surrounding
Covering & Surrounding **This standard is not covered in the 7th grade calendar and therefore is required in the 6th grade **
* = Major Cluster www.achievethecore.org, SBAC – all claims www.smarterbalanced.org ^ = SBAC – Claim #2: Problem Solving u= SBAC – Claim #4: Modeling & Data Analysis (Performance Tasks & Technology models) o = SBAC – Claim #3: Communicating Reasoning (SMP#3)
6.SP – Statistics & Probability Measurement Topic: Describe one-variable data Learning Targets w6.SP.i – I can display & describe one-variable data. Data About Us
w6.SP.ii – I can describe one-variable data using it’s spread, overall shape, and measures of center.
Data About Us
I can recognize…
I can apply my knowledge to…
¨ Statistical questions. ¨ A set of statistical data as being described by it center, spread and overall shape.
¨ ¨ ¨ ¨
¨ That a measure of center (median & mean) summarizes a set of data into a single number. ¨ That a measure of variation (interquartile range & mean absolute deviation) describes how its values vary with a single number.
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Display data on a number line. Display data on a dot plot. Display data on a histogram. Display data on a box plot.
Summarize data using ¨ The number of observations, ¨ Describe the nature of the data, ¨ Measures of Center, ¨ Measure of Variability, ¨ Describing the overall pattern, and ¨ Outliers. ¨ Relate the choice of measures of center and variability to the shape and context of the data.
* = Major Cluster www.achievethecore.org, SBAC – all claims www.smarterbalanced.org ^ = SBAC – Claim #2: Problem Solving u= SBAC – Claim #4: Modeling & Data Analysis (Performance Tasks & Technology models) o = SBAC – Claim #3: Communicating Reasoning (SMP#3)
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