Syllabus
Welcome to 6th Grade Honors Math-syllabus 2016.docx2018-2019 6th Grade Honors Math Curriculum (At a Glance)
6th Honors Math Course-at-a-Glancs
Unit 1 -
Area and Surface Area
10 days
Students will explore the areas of triangles and parallelograms, discovering the formulas and rationales and using them to decompose figures. Students will also explore surface area of right prisms and pyramids and find surface area by creating nets.
6.G.1, 6.G.4
Unit 2 - Factors and Multiples
5 days
Students will explore relationships between factors and multiples of numbers, including prime factorization, LCM, and GCF, and apply them to add and subtract fractions and solve problems.
6.NS.4
Unit 3 - Ratios
20 days
Students will be introduced to rates and ratios, the multiplicative relationships between numbers. They will explore these rates and ratios using multiple representations, including graphs, tables, and ratio notation, and will explore the concept of a unit ratio. Students will also be introduced to the concept of a percent as a ratio per 100 and use them to solve problems.
6.RP.1, 6.RP.2, 6.RP.3, 6.RP.4
Unit 4 - Integers and Number Lines
10 days
Students will first learn the definition of negative numbers, their positioning on the number line, and real-world scenarios in which negative numbers could exist. Students will also learn about absolute value as the distance from zero and apply this understanding to find the distance between integers on a number line. Students will further apply this understanding to add and subtract integers, using models to develop algorithms.
6.NS.5, 6.NS.6a, 6.NS.7, 6.NS.9, 7.NS.2
Unit 5 - Rational Numbers
20 days
Students will further explore the concept of division and operations with all rational numbers, using models and concepts to develop algorithms. Students will divide fractions using models and common denominators to develop the concept, ultimately leading to an algorithm. Similar processes will be used for long division and decimal computation. Students will be expected to perform these calculations in mathematical and real-world contexts.
6.NS.1, 6.NS.2, 6.NS.3, 7.NS.1, 7.NS.2
Unit 6 - Coordinate Plane
10 days
Students will extend their understanding of negative numbers to graph them on a four quadrant coordinate plane and find the distance between two points with the same x or https://docs.google.com/document/d/19XUxPRiWTdl3zhg83XShWNei8KpN37DbjAZ89F0NpLA/edit?usp=sharingy coordinate. They will use the coordinate plane to solve problems, including those involving the area and perimeter of polygons.
6.NS.6b, 6.NS.8, 6.G.3
Unit 7 - Algebraic Expressions
15 days
Students will continue their work with evaluating numerical expressions to expand to algebraic expressions, where variables can represent different numbers. They will further explore vocabulary around expressions, the distributive property, like terms, and equivalent expressions. Using these properties, students will add, subtract, expand, and factor linear expressions. They will see how algebraic expressions can be used to define real-world situations and solve problems involving expressions with rational numbers in any form. All expressions and coefficients can include any rational numbers in any form, and students should be able to convert between them.
6.EE.1, 6.EE.2, 6.EE.3, 6.EE.4, 6.EE.6, 7.EE.1, 7.EE.2, 7.EE.3
Unit 8 - Algebraic Equations
20 days
Students will explore the concept of equations, showing how to determine an unknown value by substitution and extending that to determine rules about inverse operations for one-step equations. They will extend these concepts to solve multi-step equations with variables on one side, including those using the distributive property, like terms, and rational coefficients. They will also explore inequality statements, graphing inequalities, and solving one-step and multi-step inequalities, and they will use equations and inequalities to represent real-world contexts.
6.EE.5, 6.EE.7, 6.EE.8, 7.EE.4
Unit 9 - Constant of Proportionality
Unit 9
15 days
Students will extend their understanding of ratios to include proportional relationships represented in graphs, equations, tables, and written context. They will recognize and analyze unit rates, proportional relationships, and scale factor, and they will use each to solve problems in mathematical and real-world contexts. Students will also extend their understanding of percent to solve problems using the percent as a ratio per 100, including problems with circle graphs.
6.EE.9, 7.RP.1, 7.RP.2, 7.RP.3
Unit 10 - Circles
Unit 10
5 days
Students will explore the relationships of measurements in circles, including radius, diameter, area, and circumference. They will discover the concept of pi and explain it as the ratio of circumference to diameter, and they will use all of the relationships to solve problems in a real-world and mathematical context.
7.G.4
Unit 11 - Volume
Unit 11
5 days
Students will explore the concept of volume, through models of unit cubes and ultimately developing a formula for right prisms. They will differentiate between volume and surface area and use both to solve problems.
6.G.2
Unit 12 - Statistics
10 days
Students will lay a foundation for their future learning about statistics, learning about statistics questions, data collection, measures of center and variability, and representations of data. Students will learn to calculate mean, median, and quartile values, and they will represent data with dot plots, histograms, and box plots.
6.SP.1, 6.SP.2, 6.SP.3, 6.SP.4, 6.SP.5
Unit 1 Concepts
Concept 1 - Area of Rectangles and Parallelograms
Concept 2 - Area of Triangles
Concept 3 - Area of Special Figures
Concept 4 - Area of Composite Figures, With and Without Graphs
Concept 5 - Surface Area of Right Prisms
Concept 6 - Surface Area of Right Pyramids
Unit 2 Concepts
Concept 1 - Prime Factorization
Concept 2 - Greatest Common Factor
Concept 3 - Rewriting Sums Using Distributive Property
Concept 4 - Least Common Multiple
Concept 5 - Applications of GCF and LCM
Concept 5 - Adding and Subtracting Fractions by Finding a Common Denominator
Unit 3 Concepts
Concept 1 - Writing and Representing Ratios
Concept 2 - Equivalent Ratios
Concept 3 - Unit Ratios
Concept 4 - Graphing Ratios
Concept 5 - Measurement Conversions
Concept 6 - Percents
Unit 4 Concepts
Concept 1 - Number Lines, Opposite Values, and Absolute Values
Concept 2 - Negative Numbers and Real-World Context
Concept 3 - Ordering Rational Numbers
Concept 4 - Adding and Subtracting Integers
Concept 5 - Multiplying and Dividing Integers
Unit 5 Concepts
Concept 1 - Divide Whole Numbers and Fractions
Concept 2 - Divide Fractions by Fractions
Concept 3 - Dividing Fractions Word Problems
Concept 4 - Long Division
Concept 5 - Solving Word Problems Using Division
Concept 6 - Adding and Subtracting Decimals
Concept 7 - Multiplying Decimals
Concept 8 - Dividing Decimals
Concept 9 - Converting and Ordering Fractions, Decimals, and Percents
Concept 10 - Solving Word Problems and Combining All Operations Involving Decimals
Unit 6 Concepts
Concept 1 - Plotting Points in Four Quadrants on the Coordinate Plane
Concept 2 - Choosing Scales for Axes on the Coordinate Plane
Concept 3 - Reflections on the Coordinate Plane
Concept 4 - Real-World Coordinate Plane
Concept 5 - Horizontal and Vertical Distances on the Coordinate Plane
Concept 6 - Polygons on the Coordinate Plane
Unit 7 Concepts
Concept 1 - Order of Operations
Concept 2 - The Vocabulary of Algebraic Expressions
Concept 3 - Evaluating Expressions
Concept 4 - Combining Like Terms
Concept 5 - Distributive Property
Concept 6 - Equivalent Expressions
Concept 7 - Writing Real-World Expressions
Unit 8 Concepts
Concept 1 - Substitution
Concept 2 - Writing Equations
Concept 3 - Solving One-Step Equations
Concept 4 - Solving Two-Step and Multi-Step Equations
Concept 5 - Writing and Graphing Inequalities
Concept 6 - Solving Inequalities
Unit 9 Concepts
Concept 1 - Independent and Dependent Variables
Concept 2 - Equation, Table, and Graph Relationships
Concept 3 - Ratios
Concept 4 - Unit Rates with Complex Fractions
Concept 5 - Constant of Proportionality with Tables, Graphs, and Equations
Concept 6 - Solving and Setting Proportions Equal
Concept 7 - is/of (Part/Whole)
Concept 8 - Percent of Change
Concept 9 - Percent of Error
Concept 10 - Markup-Markdown Problems (including multi-step)
Concept 11 - Simple Interest
Concept 12 - Proportionality in Circles/Degrees
Concept 13 - Unit Conversion Ratios
Unit 10 Concepts
Concept 1 - Radius, Diameter, Area, Circumference, and Pi
Concept 2 - Circumference of a Circle
Concept 3 - Area of a Circle
Unit 11 Concepts
Concept 1 - Distinguishing Surface Area and Volume
Concept 2 - Volumes of Rectangular Prisms
Unit 12 Concepts
Concept 1 - Statistical Questions
Concept 2 - Dot Plots
Concept 3 - Histograms
Concept 4 - Measures of Center and Spread
Concept 5 - Concept of Center and Spread
Concept 6 - Box Plots
Concept 7 - Comparing Data by Representation