6th Grade Math

UNIT 1: Area and Surface Area

6.1.1 Reasoning to Find Area: Developing strategies to find the area of various shapes.
Common Core Standards: CCSS.MATH.CONTENT.6.G.A.1

6.1.2 Parallelograms: Understanding and calculating the area of parallelograms.
Common Core Standards: CCSS.MATH.CONTENT.6.G.A.1

6.1.3 Triangles: Exploring the area of triangles.
Common Core Standards: CCSS.MATH.CONTENT.6.G.A.1

6.1.4 Polygons: Calculating the area of various polygons.
Common Core Standards: CCSS.MATH.CONTENT.6.G.A.1

6.1.5 Surface Area: Learning how to calculate the surface area of three-dimensional figures.
Common Core Standards: CCSS.MATH.CONTENT.6.G.A.4

6.1.6 Squares and Cubes: Exploring the properties of squares and cubes.
Common Core Standards: CCSS.MATH.CONTENT.6.G.A.2

6.1.7 Let’s Put it to Work: Applying area and surface area knowledge in practical contexts.
Common Core Standards: CCSS.MATH.CONTENT.6.G.A.4

UNIT 2: Introducing Ratios

6.2.1 What are Ratios?: Understanding the concept of ratios.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.1

6.2.2 Equivalent Ratios: Identifying and creating equivalent ratios.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.1

6.2.3 Representing Equivalent Ratios: Using various methods to represent equivalent ratios.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.3.A

6.2.4 Solving Ratio and Rate Problems: Applying ratio and rate concepts to solve problems.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.3

6.2.5 Part-part-whole Ratios: Exploring part-part-whole relationships in ratios.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.1

6.2.6 Let’s Put it to Work: Utilizing ratio concepts in real-world applications.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.3

UNIT 3: Unit Rates and Percentages

6.3.1 Units of Measurement: Understanding and using different units of measurement.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.3.D

6.3.2 Unit Conversion: Converting between different units of measure.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.3.D

6.3.3 Rates: Exploring and calculating rates.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.2

6.3.4 Percentages: Understanding and working with percentages.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.3.C

6.3.5 Let’s Put it to Work: Applying unit rates and percentages in various contexts.
Common Core Standards: CCSS.MATH.CONTENT.6.RP.A.3

UNIT 4: Dividing Fractions

6.4.1 Making Sense of Division: Conceptualizing the division of fractions.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.A.1

6.4.2 Meanings of Fraction Division: Exploring different interpretations of fraction division.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.A.1

6.4.3 Algorithm for Fraction Division: Learning and applying the algorithm for fraction division.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.A.1

6.4.4 Fractions in Lengths, Areas, and Volumes: Using fractions in the context of lengths, areas, and volumes.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.A.1

6.4.5 Let’s Put It to Work: Implementing fraction division in practical situations.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.A.1

UNIT 5: Arithmetic in Base Ten

6.5.1 Warming Up to Decimals: Building a foundation for understanding decimals.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.B.3

6.5.2 Adding and Subtracting Decimals: Learning to add and subtract decimals.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.B.3

6.5.3 Multiplying Decimals: Exploring decimal multiplication.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.B.3

6.5.4 Dividing Decimals: Understanding how to divide decimals.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.B.3

6.5.5 Let’s Put It to Work: Applying decimal arithmetic in real-world scenarios.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.B.3

UNIT 6: Expressions and Equations

6.6.1 Equations in One Variable: Solving equations with one variable.
Common Core Standards: CCSS.MATH.CONTENT.6.EE.B.6

6.6.2 Equal and Equivalent: Understanding the concepts of equality and equivalence.
Common Core Standards: CCSS.MATH.CONTENT.6.EE.B.7

6.6.3 Expressions with Exponents: Working with expressions involving exponents.
Common Core Standards: CCSS.MATH.CONTENT.6.EE.A.1

6.6.4 Relationships Between Quantities: Exploring relationships between different quantities.
Common Core Standards: CCSS.MATH.CONTENT.6.EE.C.9

6.6.5 Let’s Put it to Work: Using expressions and equations to solve problems.
Common Core Standards: CCSS.MATH.CONTENT.6.EE.B.7

UNIT 7: Rational Numbers

6.7.1 Negative Numbers and Absolute Value: Understanding negative numbers and absolute value.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.C.5

6.7.2 Inequalities: Solving and graphing inequalities.
Common Core Standards: CCSS.MATH.CONTENT.6.EE.B.8

6.7.3 The Coordinate Plane: Using the coordinate plane to represent numbers.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.C.6

6.7.4 Common Factors and Common Multiples: Finding common factors and multiples.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.B.4

6.7.5 Let’s Put it to Work: Applying concepts of rational numbers in various situations.
Common Core Standards: CCSS.MATH.CONTENT.6.NS.C.7

UNIT 8: Data Sets and Distributions

6.8.1 Data, Variability, and Statistical Questions: Exploring data sets and statistical questions.
Common Core Standards: CCSS.MATH.CONTENT.6.SP.A.1

6.8.2 Dot Plots and Histograms: Creating and interpreting dot plots and histograms.
Common Core Standards: CCSS.MATH.CONTENT.6.SP.B.4

6.8.3 Measures of Center and Variability: Understanding measures of central tendency and variability.
Common Core Standards: CCSS.MATH.CONTENT.6.SP.B.5

6.8.4 Median and IQR: Calculating and interpreting the median and interquartile range.
Common Core Standards: CCSS.MATH.CONTENT.6.SP.B.5

6.8.5 Let’s Put it to Work: Utilizing data analysis skills in practical scenarios.
Common Core Standards: CCSS.MATH.CONTENT.6.SP.B.5

UNIT 9: Putting it All Together

6.9.1 Making Connections: Integrating and applying learned concepts across different mathematical areas.
Common Core Standards: Comprehensive application of Grade 6 standards.

6.9.2 Voting: Exploring mathematical concepts in the context of voting and decision-making.
Common Core Standards: Application of relevant mathematical standards in real-world contexts.

This curriculum provides a thorough foundation in 6th-grade mathematics, aligning with the Common Core Standards and preparing students for more advanced mathematical studies.

John Nguyen
John Nguyen
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