Success in mathematics is not how many answers you know, but what you do when you don't know the answer.

Houghton Mifflin Harcourt - Math Expressions Grade 6

Unit 1: Rates, Ratios, and Proportions - 14 lessons

Unit 2: Area of Polygons - 9 lessons

Unit 3: Operations with Whole Numbers, Fractions, and Decimals - 17 lessons

Unit 4: Surface Area of Prisms and Pyramids - 5 lessons

Unit 5: Expressions and Equations - 17 lessons

Unit 6: Volume for Rectangular Prisms - 5 lessons

Unit 7: Ratios and Rates with Fractions, Decimals, and Percents - 13 lessons

Unit 8: Analyzing Statistics - 11 lessons

Unit 9: Rational Numbers and the Coordinate Plane - 7 lessons

Unit 5: Expression and Equations

Order of Operations: Very Important!!!! 1st: Parenthesis ( ) 2nd: Exponents or Powers: 4 to the third power is 4 x 4 x 4 NOT 4 x 3 3rd: Multiply OR Divide left to right which one comes 1st. 4th: Add OR Subtract left to right which one comes 1st.

Unit 2: Area of Polygon - formulas - 2-D shapes

Area of Square and Rectangle: length x width

Area of Triangle: base x height divided by 2

Area of Parallelogram: length x width

Area of Trapezoid: base + base x height divided by 2

Area of Regular Polygons - pentagon, hexagon, octagon, etc: base x height divided by 2 x number of sides

Unit 4: Surface Area - formulas - 3-D shapes

Prisms

Square Prism:
Base is a square = length x width x 2:
Faces are rectangles = length x height x 4;
Add base and faces together

Rectangular Prism: Base is a rectangle and faces are rectangles.
length x width x 2
length x height x 2
width x height x 2
Add all 3 answers together

For the next 2 prisms: Normally when you find area of triangle you do Base x Height divide by 2. However, with the next two prisms, you don't have to follow that formula, because you have 2 bases. It is not necessary to divide by 2 then x by 2, they cross each other out.

Triangular Prism: Base is a triangle = base x height
Faces are rectangles and there are 3 = length x width(base) x 3.
Add base and faces together.

Pentagonal, Hexagonal, and Octagonal Prisms: Bases are Pentagon(5), Hexagon(6) and Octagon(8): There are 2 bases.
Base = base x height x the number of sides
Faces are rectangles = length x width x number of sides
Add base and faces together

Pyramids

Shapes that have 1 base and sides are triangles that form a point. Names are given according to base shape.

Square Pyramid: square base and 4 triangular faces
Base = length x width
Faces = base x height x 4 divided by 2 OR base x height divided by 2 x 4
Add base and faces together

Rectangular Pyramid: rectangular base and 4 triangular faces with 2 different measurements.
Base = length x width
2 Faces = base x height divided by 2 x 2 OR base x height
2 Faces = base x height divided by 2 x 2 OR base x heigth
Add base and faces together

Triangular Pyramid: triangular base and 3 triangular faces
Base = base x height divided by 2
Faces = base x height divided by 2 x 3

Pentagonal, Hexagonal, and Octagonal Pyramids:
Pentagonal: base is a pentagon with 5 triangular faces
Hexagonal: base is a hexagon with 6 triangular faces
Octagonal: base is octagon with 8 triangular faces
If all = Base = base x height divided by 2 x # of sides
Faces = base x height divided by 2 x # of sides
Add base and faces together

## Mathematics:

Success in mathematics is not how many answers you know, but what you do when you don't know the answer.## Houghton Mifflin Harcourt - Math Expressions Grade 6

## Unit 1: Rates, Ratios, and Proportions - 14 lessons

## Unit 2: Area of Polygons - 9 lessons

## Unit 3: Operations with Whole Numbers, Fractions, and Decimals - 17 lessons

## Unit 4: Surface Area of Prisms and Pyramids - 5 lessons

## Unit 5: Expressions and Equations - 17 lessons

## Unit 6: Volume for Rectangular Prisms - 5 lessons

## Unit 7: Ratios and Rates with Fractions, Decimals, and Percents - 13 lessons

## Unit 8: Analyzing Statistics - 11 lessons

## Unit 9: Rational Numbers and the Coordinate Plane - 7 lessons

## Unit 5: Expression and Equations

Order of Operations: Very Important!!!!1st: Parenthesis ( )2nd: Exponents or Powers: 4 to the third power is 4 x 4 x 4 NOT 4 x 33rd: Multiply OR Divide left to right which one comes 1st.4th: Add OR Subtract left to right which one comes 1st.## Unit 2: Area of Polygon - formulas - 2-D shapes

Area of Square and Rectangle: length x widthArea of Triangle:base x height divided by 2Area of Parallelogram: length x widthArea of Trapezoid:base + base x height divided by 2Area of Regular Polygons- pentagon, hexagon, octagon, etc: base x height divided by 2 x number of sides## Unit 4: Surface Area - formulas - 3-D shapes

## Prisms

Square Prism:Base is a square = length x width x 2:

Faces are rectangles = length x height x 4;

Add base and faces together

Rectangular Prism: Base is a rectangle and faces are rectangles.length x width x 2

length x height x 2

width x height x 2

Add all 3 answers together

Triangular Prism:Base is a triangle = base x heightFaces are rectangles and there are 3 = length x width(base) x 3.

Add base and faces together.

Pentagonal, Hexagonal, and Octagonal Prisms: Bases are Pentagon(5), Hexagon(6) and Octagon(8): There are 2 bases.Base = base x height x the number of sides

Faces are rectangles = length x width x number of sides

Add base and faces together

## Pyramids

Shapes that have1base and sides are triangles that form a point. Names are given according to base shape.Square Pyramid:square base and 4 triangular facesBase = length x width

Faces = base x height x 4 divided by 2 OR base x height divided by 2 x 4

Add base and faces together

Rectangular Pyramid:rectangular base and 4 triangular faces with 2 different measurements.Base = length x width

2 Faces = base x height divided by 2 x 2 OR base x height

2 Faces = base x height divided by 2 x 2 OR base x heigth

Add base and faces together

Triangular Pyramid: triangular base and 3 triangular facesBase = base x height divided by 2

Faces = base x height divided by 2 x 3

Pentagonal, Hexagonal, and Octagonal Pyramids:Pentagonal: base is a pentagon with 5 triangular faces

Hexagonal: base is a hexagon with 6 triangular faces

Octagonal: base is octagon with 8 triangular faces

If all = Base = base x height divided by 2 x # of sides

Faces = base x height divided by 2 x # of sides

Add base and faces together

Connect to math websites: School Link