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.
Note: The LearnZillion videos will require creating a free account.
TRIMESTER 1
CHAPTER 1: Numbers to 10,000
- IXL Skills
- Vocabulary: word form, standard form, expanded form, digit
- Videos:
- Digits and place value – Learn Zillion
- Understanding a value of number – LearnZillion
- Comparing number – Learn Zillion
- Writing number in word form – CK12
- Representing number in expanded form – CK 12
- Virtual Manipulative:
- Base Ten Blocks – Math Learning Center
- Base Ten Blocks – Didax
- Place Value Disks – Didax
- Place Value Cards – Toy Theater
- Online Games
CHAPTER 2: Mental Math and Estimation
- IXL Skills
- Vocabulary: rounding, estimating, leading digit, front end estimation, reasonable
- Videos:
- Round using linear model – Learn Zillion
- Rounding – BrainPop
- Round to nearest ten – Khan Academy
- Round to nearest hundred – Khan Academy
- Virtual Manipulative:
- Number Line – Math Learning Center
- Number Line – Didax
CHAPTER 3: Addition up to 10,000
- IXL Skills
- Vocabulary: sum, regroup
- Videos:
- Solve addition problems – LearnZillion
- Add using standard algorithm – LearnZillion
- Using place value to add – Khan AcademyVideos
- Adding multi digits – Epic
- Online Games
CHAPTER 4: Subtraction up to 10,000
- IXL Skills
- Vocabulary: difference, regroup
- Videos:
- Methods for subtracting – Khan Academy
- Add and subtract on a number line – Khan Academy
- Subtraction using addition – LearnZillion
- Subtraction with regrouping – Khan Academy
- Online Games
CHAPTER 16: Time and Temperature
- IXL Skills
- Vocabulary: hour, minute, elapsed time, temperature, thermometer, degrees, Fahrenheit
- Videos:
- Reading a thermometer – PBS
- Temperature – BrainPop
- Reading the exact time on a clock – LearnZillion
- Elapsed time – LearnZillion
- Solving elapsed time problems using a number line – LearnZillion
- Solving elapsed time problems using a T-chart – LearnZillion
- Virtual Manipulative:
- Clocks – Math Learning Center
- Clock – Desmos
- Clocks – Toy Theater
- Thermometer – Toy Theater
- Online Games
CHAPTER 11: Metric Measurement-Length, Mass, and Volume
- IXL Skills
- Vocabulary: meter, centimeter, kilometer, distance, kilogram, gram, liter, milliter, volume, capacity
- Videos:
- Comparing and converting the metric units – LearnZillion
- Understanding mass – LearnZillion
- Find the volume of liquids – LearnZillion
- Understanding the metric system – BrainPop
- Units of Measure – PBS
- Virtual Manipulative:
- Measurement Tool – Think Central
- Mostly Postie – Scale Reading – ict Games
- Capacity – ict Games
- Online Games
CHAPTER 12: Real World Problems with Measurement
TRIMESTER 2
CHAPTER 6: Multiplication (Tables 6, 7, 8, & 9)
- IXL Skills
- Vocabulary: factor, product, Commutative Property, Associative Property, Multiplication Property of One, Multiplication Property of Zero, array model, area model, number line, equal groups
- Videos:
- Interpret products by drawing pictures – LearnZillion
- Interpret products using a number line – LearnZillion
- Represent multiplication using arrays – LearnZillion
- Interpret products using repeated addition – LearnZillion
- Solve multiplication problems using arrays – LearnZillion
- Virtual Manipulative:
- Area Model – Math Learning Center
- Area Model Multiplication – Phet
- Online Games
CHAPTER 7: Multiplication (Up to 3 digit by 1 digit)
- IXL Skills
- Vocabulary: product
- Videos:
- Multiply by 1 digit patterns – Khan Academy
- Using area models and properties to multiply – Khan Academy
- Multiply 3 digit numbers by 1 digit using area models – LearnZillion
- Multiply using an area model – Khan Academy
- Box Method Long Division – Youtube
- Grid Method Long Division – Youtube
- Partial Quotient video – Youtube
- Virtual Manipulative:
- Area Model – Math Learning Center
- Place Value Disks – Didax
- Open Array Tool – Conceptual Math
- IXL Skills
- Vocabulary: divisor, dividend, quotient, remainder
- Videos:
- Division – BrainPop
- Solve division problems using pictures – LearnZillion
- Divide into equal groups – Khan Academy
- Visualizing division with arrays – Khan Academy
- Relating multiplication to division – Khan Academy
- Visualizing a division problem – LearnZillion
- Division – Math Playground
- Virtual Manipulative:
- Open Array Division Tool – Conceptual Math
- Online Games
CHAPTER 13: Bar Graphs and Line Plots
- IXL Skills
- Vocabulary: vertical, horizontal, axis, scale, line plot, survey
- Videos:
- Bars on a graph – LearnZillion
- Construct and interpret a line plot – LearnZillion
- Virtual Manipulative:
- Graphs – NCES Kids Zone
- Graphing Tool – Think Central
- Online Games
CHAPTER 17: Angles and Lines
- IXL Skills
- Vocabulary: point, angle, line, endpoint, line segment, right angle, perpendicular lines, parallel lines
- Videos:
- Points, lines, line segments – LearnZillion
- Identifying lines – LearnZillion
- Virtual Manipulative:
- Draw Lines – Think Central
- Online Games
CHAPTER 18: Two-Dimensional Shapes
- IXL Skills
- Vocabulary: plane figure, polygon, vertex, quadrilateral, rhombus, parallelogram, pentagon, octagon, tangram, symmetry, line of symmetry
- Videos:
- Polygons – BrainPop
- Shape attributes – LearnZillion
- Count sides and angles to identify polygons – LearnZillion
- Virtual Manipulative:
- Polygons – Mathigon
- GeoBoard – Didax
- Interactive Quadrilaterals – Math is Fun
- Online Games
TRIMESTER 3
- IXL Skills
- Video:
- Making Change -Khan Academy
- Virtual Manipulative:
- Play money – Toy Theater
- Coin box – NCTM
- Online Games
- Extension:
CHAPTER 14: Fractions
- IXL Skills
- Vocabulary: numerator, denominator, equivalent fraction, simplest form, like fractions, unlike fractions
- Videos:
- Write unit fractions -LearnZillion
- Partition a shape into equal parts – LearnZillion
- Write fractions – LearnZillion
- Solve fraction word problems – LearnZillion
- Fractions on a number line – LearnZillion
- Understanding denominators – LearnZillion
- Equivalent fractions with fraction strips -LearnZillion
- Compare unit fractions – LearnZillion
- Virtual Manipulative:
- Fraction – Math Learning Center
- Fraction Equity – Phet
- Fractions, Percent, Decimals Tiles
- Fraction Match – Phet
- Online Games
CHAPTER 15: Customary Measurement-Length, Mass, and Volume
- IXL Skills
- Vocabulary: inch, foot, yard, mile, ounce, pound, ton, cup, pint, quart, gallon
- Videos:
- Liquid volume – LearnZillion
- Measurement word problems – LearnZillion
- Online Games
CHAPTER 19: Area and Perimeter
- IXL Skills
- Vocabulary: area, square units, perimeter
- Videos:
- Find the perimeter – LearnZillion
- Solving perimeter problems – LearnZillion
- Find perimeter of polygons – LearnZillion
- Relating area to arrays – LearnZillion
- Find the area using tiling – LearnZillion
- Find area by breaking into smaller rectangles – LearnZillion
- Find Perimeter with a missing side – LearnZillion
- Virtual Manipulative:
- Area Builder – Phet
- Area and Perimeter – Toy Theater
- Online Games
CHAPTER 5: Using a Bar Model-Addition and Subtraction
- IXL Skills
- Vocabulary: sum, difference, bar model
- Video:
- Solve word problems using bar models – LearnZillion
- Solving comparison problems – LearnZillion
- Virtual Manipulative:
CHAPTER 9: Using a Bar Model: Multiplication and Division
- IXL Skills
- Vocabulary: twice, double
- Video:
- Problem solving – LearnZillion
- Virtual Manipulative