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Welcome to the 6th grade SMART Pages!

Click on the links below to find information on the what your child is learning,
vocabulary, activities for home, and learning links!

Geometry | Statistics & Probability | Number System | Ratios & Proportions | Expressions & Equations

##### Geometry

 Find the area of regular and irregular polygons (6.G.1) Find the volume of rectangular prisms (6.G.2) Draw polygons in the coordinate plane to solve real-world and mathematical problems (6.G.3) Represent three-dimensional figures using nets (6.G.4)

Vocabulary

 Area: Measured in square units, the size a surface takes up Volume: The amount of space that a three-dimensional figure contains. Volume is expressed in cubic units, (how many small cubes would fit inside a solid figure) Regular Polygons: A plane shape that has equal sides or equal angles Coordinate Plane: A plane containing two perpendicular axes (x and y) intersecting at a point called the origin (0, 0) Irregular Polygons: A plane shape that does not have all side equal or all angles equal Three-Dimensional Figure: A measure in three directions, such as length and width Rectangular Prism: A solid figure in which all six faces are rectangles Net: A two-dimensional object that can be folded to make a three-dimensional object

Activities At Home

• Write clues to describe polygons. Try to guess your partners polygon.
• Use a compass or computer to draw geometric figures.
• Take the measurements of your bedroom. Determine the amount of carpet needed to cover the floor. Determine the amount of wallpaper to cover your walls.
• Estimate the size of your classroom. Determine the area and volume of your classroom. Think about different ways you could figure out the volume without measuring with a yard stick or measuring tape.
• Using weighted paper, draw a net of a three-dimensional figure. Using color pencils, decorate and cut.

 Nets Maze game 3d Boxes Area Surface and volume Polygon Properties Types of polygons Geoboard
##### Statistics & Probability

 Find the area of regular and irregular polygons (6.G.1) Find the volume of rectangular prisms (6.G.2) Draw polygons in the coordinate plane to solve real-world and mathematical problems (6.G.3) Represent three-dimensional figures using nets (6.G.4)

Vocabulary

 Area: Measured in square units, the size a surface takes up Volume: The amount of space that a three-dimensional figure contains. Volume is expressed in cubic units, (how many small cubes would fit inside a solid figure) Regular Polygons: A plane shape that has equal sides or equal angles Coordinate Plane: A plane containing two perpendicular axes (x and y) intersecting at a point called the origin (0, 0) Irregular Polygons: A plane shape that does not have all side equal or all angles equal Three-Dimensional Figure: A measure in three directions, such as length and width Rectangular Prism: A solid figure in which all six faces are rectangles Net: A two-dimensional object that can be folded to make a three-dimensional object

Activities At Home

• Write clues to describe polygons. Try to guess your partners polygon.
• Use a compass or computer to draw geometric figures.
• Take the measurements of your bedroom. Determine the amount of carpet needed to cover the floor. Determine the amount of wallpaper to cover your walls.
• Estimate the size of your classroom. Determine the area and volume of your classroom. Think about different ways you could figure out the volume without measuring with a yard stick or measuring tape.
• Using weighted paper, draw a net of a three-dimensional figure. Using color pencils, decorate and cut.

 Nets Maze game 3d Boxes Area Surface and volume Polygon Properties Types of polygons Geoboard
##### Number System

 Divide by fractions by fractions (6.NS.1) Fluently divide multi-digit numbers using the standard algorithm (6.NS.2) Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation (6.NS.3) Find the greatest common factor and multiples of numbers (6.NS.4) Understand the meaning of positive and negative numbers (6.NS.5) Order rational numbers (6.NS.6) Understand ordering and absolute value of rational numbers (6.NS.7) Graph points on a coordinate plane to solve real-world and mathematical problems. (6.NS.8)

Vocabulary

 Standard Algorithm: A way of setting out a step a step-by-step mathematical procedure Multiples: The product of a given whole number and another number. For example, the multiples of 10 are 0, 10, 20, 30, 40, 50, ... Operations: Addition, Subtraction, Multiplication, Division Rational Numbers: A real number that can be written as: a ratio of two integers (fraction), excluding zero as a denominator; a repeating or terminating decimal; or an integer Factors: The numbers being multiplied together to form a product. Absolute Value: The value of the number, ignoring the sign. The distance the number is from zero on the number line written | x | = x or | -x | = x Great Common Factor (GCF): The greatest factor that two or more numbers have in common Coordinate Plane: A plane containing two perpendicular axes (x and y) intersecting at a point called the origin (0, 0) Integers: A set of whole numbers and their opposites. Negative Integer: Any integer less than zero. Positive Integer: Any integer greater than zero. Fraction: A way of representing part of a whole number or part of a group by telling the number of equal parts in the whole and the number of those parts you are describing.

Activities At Home

• Pick or create numbers to make fractions with. Add, subtract, multiply, divide, or simplify using the fractions
you created.
• With a partner, pick numbers. Race to find the common factors of those numbers.
• With a partner, choose fractions. Race to put the fractions in order from least to greatest or greatest to least.
• Find examples of integers in the newspaper, on the internet, or in magazines.
• Create or pick numbers to make decimals. Add, subtract, multiply, or divide the decimals.
• Create a treasure map on a coordinate plane. Write clues, using coordinates, to find the treasure.

 Dividing Fractions Multiply and Divide Fractions Video Dividing Fractions Basketball Snork's Long Division Game The Number Monster for Long Division Adding Decimals Dividing Decimals Multiplying Decimals Subtracting Fractions Math is Fun GCF Fruit Shoot GCF Math is Fun Least Common Multiples Pumpkin Multiples Space Coupe Positive and Negative Numbers Number Balls Positive and Negative Numbers Ordering Rational Numbers Absolute Value Stock the Shelves Coordinate Grid
##### Ratios & Proportions

 Understand the concept of a ratio (6.RP.1) Understand the concept of unit rate (6.RP.2) Use ratio and rate reasoning to solve real world problems (6.RP.3)

Vocabulary

 Ratio: A comparison of two numbers. Example: 3 : 4, 3/4, or 3 to 4. Equivalent Ratios: Ratios that name the same comparisons. Proportion: A statement that two ratios are equal - two fractions that are equal, (e.g. 3/4 = 6/8) Unit Rate: A comparison of two measurements in which one of the terms has a value of 1. Rate: A ratio that compares quantities measured in different units.

Activities At Home

• Practice finding ratios and equal ratios by finding equivalent fractions.
• Create ratios for objects around the house. For example, the ratio of male shoes to female shoes.
• Create fractions. Find fractions that are equivalent to the original fraction.
• Go to the grocery store and find the unit rates for different items at the store.

 Equal Proportions Equivalent Ratios Rates, Ratios, Proportions Finding Equal Ratios Thinking Blocks Fraction Percent Scale Rod Ratios Ratio and Proportion
##### Expressions & Equations

 Write and evaluate numerical expressions involving whole-number exponents (6.EE.1) Write, read, and evaluate expressions in which letters stand for numbers (6.EE.2) Simplify algebraic expressions using the distributive, associative, and communicative properties when appropriate. For example, 3 (2 + x) can be expressed as 6 + 3x (6.EE.3) Identify equivalent expressions. For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for (6.EE.4) Understand equations and inequalities (6.EE.5) Use variables and expressions to solve real-world problems (6.EE.6) Use variables and equations to solve real-world problems (6.EE.7) Write inequalities for real-world or mathematical problems (6.EE.8) Use variables to represent two quantities in a real-world problem (6.EE.9)

Vocabulary

 Expression: A mathematical combination of numbers, variables, and operations. Exponent: Shows the number of times the base number is multiplied by itself. Variables: A quantity that can change or vary, taking on different values. Distributive Property: Multiplying a number is the same as multiplying its addends by the number, then adding the products. 6 x 9 = 6 x (4 + 5) = (6 x 4) + (6 x 5) = 24 + 30 = 54 Associative Property: In addition or multiplication, no matter how the numbers are grouped, the answer will always be the same (a + b) + c = a + (b + c) Communicative Property: In addition and multiplication, numbers may be added or multiplied together in any order. a + b = b + a Equivalent: Having the same value Inequalities: Not equal in size, amount or value

Activities At Home

• Write expressions to describe real life things (siblings age, number of pets, etc.)
• Write expressions and use order of operations to solve.
• Write a story incorporating variables. Have a friend try to solve for the variables.
• Make flashcards using algebraic expressions and properties.