HBS uses the text Math in Focus as a resource. The list below is the typical flow of units. Clicking on IXL skills will bring you to a list of skills for that chapter. Watching the videos provides an opportunity to learn the concept before beginning the IXL practice. Virtual manipulative are another way to explore the concept.
Note: The LearnZillion videos will require creating a free account.
CHAPTER 1 – Whole Number
- IXL Skills
- Vocabulary: estimate rounding, compatible numbers
- Videos:
- Understanding the value of a digit 5.NBT.A.1 – LearnZillion
- Compare the value of multi-digit numbers 5.NBT.A.1 – LearnZillion
- Round to nearest hundred – Khan Academy
- Round using a number line – LearnZillion
- Round to a specific number – LearnZillion
- Rounding in real world situations – LearnZillion
- Virtual Manipulative:
- Place value disks – Didax
- Place value cards – Toy Theater
- Online Games
CHAPTER 2 – Whole Number Multiplication and Division
- IXL Skills
- Vocabulary: product, factor, dividend, divisor, quotient, remainder, order of operations, numeric expression
- Video:
- Multiplying multi-digits – Khan Academy
- Use standard algorithm for multiplication 5.NBT.B.5 – LearnZillion
- Multiply whole numbers 5.NBT.B.5 – LearnZillion
- Dividing – Khan Academy
- Intro into long division – Khan Academy
- Intro into remainders – Khan Academy
- Division with 2 digit divisors 5.NBT.B.6 – LearnZillion
- Work with expression that have parentheses – LearnZillion
- Order of operations – Khan Academy
- Box Method – YouTube
- Box Method with Mr. J – YouTube
- Partial Quotient – YouTube
- Grid Method using 2 digit divisor – YouTube
- Grid Method Long Division – YouTube
- Virtual Manipulative:
- Area Model – Math Learning Center
- Place Value Disks – Didax
- Open Array Tool – Conceptual Math
- Area Model Multiplication – Phet
- Online Games
CHAPTER 3 – Fractions and Mixed Numbers
- IXL Skills
- Vocabulary: least common multiple, least common denominator, equivalent fractions, mixed number
- Video:
- Lowest terms – Khan Academy
- Factors and multiples – Khan Academy
- Factors – Khan Academy
- Add fractions with unlike denominators – LearnZillion
- Convert fractions and mixed numbers – LearnZillion
- Virtual Manipulative:
- Fraction Equity – Phet
- Fractions, Percent, Decimals Tiles
- Fraction – Math Learning Center
- Fraction Match – Phet
- Fraction Scale – Math Playground
- Visual Fractions – Math Playground
- Online Games
CHAPTER 4 – Multiplying and Dividing Fractions
- IXL Skills
- Vocabulary: common factors, proper fraction, improper fraction, mixed number, reciprocal
- Videos:
- Conceptual understanding for dividing fractions – YouTube
- Multiply fraction by a fraction using visual representation 5.NF.B.6 – LearnZillion
- Multiply fraction by a fraction 5.NF.B.4.a – LearnZillion
- Multiply fraction using sequence of steps – LearnZillion
- Pictures fro division of unit fractions 5.NF.B.7.a – LearnZillion
- Online Games
CHAPTER 5 – Algebra
- IXL Skills
- Vocabulary: algebraic expression, numeric expression, variable
- Videos:
- Write algebraic expressions – LearnZillion
- Evaluate algebraic expressions – LearnZillion
- Simplify algebraic expressions – LearnZillion
- Combining like terms using commutative and associated property – PBS
- Virtual Manipulative:
- Algebra Tiles – NCTM
- Math Balance – Didax
- Online Games
CHAPTER 6 – Area
- IXL Skills
- Vocabulary: vertex, side, angle, base, height, perpendicular
- Video:
- Square units – LearnZillion
- Area of a rectangle – LearnZillion
- Transition from counting square units to the formula – Khan Academy
- Virtual Manipulative:
- GeoBoard – Didax
- Area and Perimeter Explore – Toy Theater
CHAPTER 7 -Ratios
- IXL Skills
- Vocabulary: ratio, term, equivalent ratios, simplest form, greatest common factor
- Videos:
- Understanding rates as a type of ratio – LearnZillion
- Missing value in a ratio table – LearnZillion
- Virtual Manipulative:
- Thinking block ratios – Math Playground
CHAPTER 8 – Decimals
- IXL Skills
- Vocabulary: thousandths, equivalent
- Videos:
- Understanding the value of a digit 5.NBT.A.1 – LearnZillion
- Graphing tenths – Khan Academy
- Graphing hundredths – Khan Academy
- Graphing thousandths – Khan Academy
- Rounding decimals – Khan Academy
- Comparing decimals – Khan Academy
- Compare two decimals using a place value chart 5.NBT.A.3.b – LearnZillion
- Rounding decimal – LearnZillion
- Writing numbers as fractions or decimals – Khan Academy
- Converting fractions to decimals – Khan Academy
- Add decimals – Khan Academy
- Add decimals -LearnZillion
- Subtract decimals – Khan Academy
- Virtual Manipulative:
- Decimal Squares
- Decimal Strips – Toy Theater
- Number Line, zoomable – Math is Fun
- Online Games
CHAPTER 9 – Multiplying and Dividing Decimals
- IXL Skills
- Vocabulary: dividend, per unit, estimate, divisor
- Videos:
- Multiply/divide by 10 – LearnZillion
- Multiply decimals – LearnZillion
- Multiply decimals by a whole number using an area model 5.NBT.B.7 – LearnZillion
- Multiply decimals using standard algorithm – LearnZillion
- Dividing decimals – LearnZillion
- Rounding decimals – LearnZillion
CHAPTER 10 – Percent
- IXL Skills
- Vocabulary: percent, sales tax, meals tax, discount, interest
- Videos:
- Find a total when a percent is known – LearnZillion
- Find the total when percent and part is known – LearnZillion
- Explore the relationship between fraction, decimals and percents – PBS
- Virtual Manipulative:
- Percent Strips – Toy Theater
- Visual Percent – Math Playground
CHAPTER 11 – Graphs and Probability
- IXL Skills
- Vocabulary: double bar graph, key, coordinate grid, x-axis, y-axis, coordinate plane, coordinates, ordered pair, x-coordinates
- Videos:
- How to make a picture graph and line plot – Khan Academy
- Plot points on a coordinate grid – LearnZillion
- Making a line plot – LearnZillion
- Make a bar graph – LearnZillion
- Calculate the probability – LearnZillion
- Virtual Manipulative:
- Coordinate Grid – Teacher LED
- Graphing Tool – Think Central
- Probability – Think Central
- Online Games
CHAPTER 12 – Angles
- IXL Skills
- Vocabulary: intersecting lines, vertical angles
- Videos:
- Find angle measurements using complimentary and supplementary angles – LearnZillion
- Decompose angles – LearnZillion
- Classifying angles – Khan Academy
- Virtual Manipulative:
- Measuring Angles – Math Playground
CHAPTER 13 -Property of Triangles
- IXL Skills
- Vocabulary: equilateral, right, isosceles, scalene, obtuse, acute triangles, rhombus, parallelogram, trapezoid
- Videos:
- Classifying triangles – LearnZillion
- Online Games
CHAPTER 14 – Surface Area and Volume
- IXL Skills
- Vocabulary: unit cube, surface area, right triangle
- Videos:
- Find surface area of a rectangular prism – LearnZillion
- Find surface area of a cube – LearnZillion
- Find area using area model – LearnZillion
- Understanding volume – LearnZillion
- Find volume by counting cubes – LearnZillion
- Using multiplication to find volume – LearnZillion
- Recognize volume in composite figure – LearnZillion
- Virtual Manipulative: