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: Place Value of Whole Number
- IXL Skills
- Vocabulary: word form, expanded form, standard form
- Videos:
- Digits and place value 4.NBT.A.1 – Learn Zillion
- Comparing number – Learn Zillion
- Writing number in word form – CK12
- Representing number in expanded form – CK 12
- Understanding place value – Khan Academy
- Place value tables – Khan Academy
- Place value blocks – Khan Academy
- Writing numbers in words and standard form – Khan Academy
- Writing a number in expanded form – Khan Academy
- 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: Estimation and Number Theory
- IXL Skills
- Vocabulary: factor, greatest common factor, multiple, least common multiple
- Videos:
- Round to nearest hundred – Khan Academy
- Round using a number line 4.NBT.A.3 – LearnZillion
- Round to a specific number 4.NBT.A.3 – LearnZillion
- Rounding in real world situations 4.NBT.A.3 – LearnZillion
- Rounding whole numbers – Khan Academy
- Rounding whole numbers missing digit – Khan Academy
- Rounding whole numbers word problems – Khan Academy
- Factors for the first time – You Tube
- Factor T Chart – You Tube
- Multiples vs. Factors – Mr J YouTube
- Prime and Composite Numbers – Mr J’s – YouTube
- Virtual Manipulative:
- Number Line – Math Learning Center
- Number Line – Didax
CHAPTER 3: Whole Number Multiplication and Division
- IXL Skills
- Vocabulary: product, quotient, remainder, estimate
- Videos:
- Place value when multiplying or dividing by 10 -Khan Academy
- Multiplying whole numbers by 10 – Khan Academy
- Dividing whole numbers by 10 – Khan Academy
- 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
- 2×2 Digit Multiplication using area models – Youtube with Mr. J
- 2×2 Digit Multiplication Mashup – Youtube
- Multiply using an area model – Khan Academy
- Turtlehead Multiplication Method – YouTube
- Introduction into long division – Khan Academy
- Long Division – Math playground
- Box Method – YouTube
- Box Method with Mr. J – YouTube
- Grid Method – YouTube
- Partial Quotient – YouTube
- Area model to multiply – PBS
- 2×2 digit multiplication using Partial Products – PBS
- Virtual Manipulative:
- Area Model – Math Learning Center
- Place Value Disks – Didax
- Open Array Tool – Conceptual Math
- Area Model Multiplication – Phet
- Online Games
CHAPTER 4: Tables and Graphs
- IXL Skills
- Vocabulary: data, table, tally chart, row, column, intersection, line graph, horizontal axis, vertical axis
- Video:
- Finding a rule in a table 4.OA.C.5 – LearnZillion
- Virtual Manipulative:
- Graphs – NCES Kids Zone
- Coordinate Grid – Teacher LED
- Graphing Tool – Think Central
- Online Games
CHAPTER 5: Data and Probability
- IXL Skills
- Vocabulary: average/mean, median, mode, range, outcome, outlier, probability, certain, more likely, less likely, equally likely, impossible, favorable outcome
- 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
- Mean, median, mode – LearnZillion
- Virtual Manipulative:
- Dice – Didax
- Spinner – Didax
- Dice and Spinners – Transum
- Interactive Cartesian Coordinates – Mathisfun
- Online Games
CHAPTER 6: Fractions and Mixed Numbers
- IXL Skills
- Vocabulary: numerator, denominator, equivalent fractions, unlike fractions, mixed number, simplest form, improper fractions
- Videos:
- Factors and multiples – Khan Academy
- Factors – Khan Academy
- Write fractions greater than one – LearnZillion
- Visualizing equivalent fractions – Khan Academy
- Equivalent fractions 1 – Khan Academy
- Comparing fractions 1 – Khan Academy
- Equivalent fractions 2 – Khan Academy
- Comparing fractions – fraction models – Khan Academy
- Comparing unlike fractions – Powtoon
- Comparing fractions – KSAMathematics
- Convert fractions and mixed numbers – LearnZillion
- Decomposing hundredths – Khan Academy
- Decomposing hundredths on a number line – Khan Academy
- Visually converting tenths and hundredths – Khan Academy
- Lowest terms – Khan Academy
- Add fractions with unlike denominators – LearnZillion
- Add and subtract mixed numbers – LearnZillion
- Virtual Manipulative:
- Fraction Equity – Phet
- Fractions, Percent, Decimals Tiles – ABCya
- Fraction – Math Learning Center
- Fraction Match – Phet
- Online Games
CHAPTER 7: Decimals
- IXL Skills
- Vocabulary: decimal point, tenth, hundredth
- Videos:
- Graphing tenths – Khan Academy
- Graphing hundredths – Khan Academy
- Comparing decimals – Khan Academy
- Decimals largest place value – Khan Academy
- Comparing numbers represented in different ways – Khan Academy
- Comparing decimals visually – Khan Academy
- Rounding decimals – Khan Academy
- Rounding decimal – LearnZillion
- Writing numbers as fractions or decimals – Khan Academy
- Converting fractions to decimals – Khan Academy
- Rewriting decimals as fractions – Khan Academy
- Writing decimals and fractions shown on number line – Khan Academy
- Explore the relationship between fraction, decimals and percents – PBS
- Virtual Manipulative:
- Decimal Squares
- Decimal Strips – Toy Theater
- Online Games
CHAPTER 8: Adding and Subtracting Decimals
- IXL Skills
- Videos:
- Add decimals – LearnZillion
- Subtract decimal – Learn Zillion
CHAPTER 9: Angles
- IXL Skills
- Vocabulary: ray, vertex, protractor, degree, inner scale, outer scale, acute angle, obtuse angle, straight angle
- Videos:
- Angle Basics – Khan Academy
- Naming Angles – Khan Academy
- Measuring Angles – Khan Academy
- Measuring Angles with a protractor – Khan Academy
- Angle Measurement and Circle Arcs – Khan Academy
- Measuring angles – LearnZillion
- Acute, right, obtuse angles – LearnZillion
- Constructing Angles – Khan Academy
- Decomposing an Angle – Khan Academy
- Decomposing Angle 2 – Khan Academy
- Virtual Manipulative:
- Measuring Angles – Math Playground
- Online Protractor – Visnos
- Online Games
CHAPTER 10: Perpendicular and Parallel Lines
- IXL Skills
- Vocabulary: perpendicular, parallel, horizontal, vertical, base
- Video:
- Lines – Khan Academy
- Into into Parallel and Perpendicular – Khan Academy
- Parallel and Perpendicular – Khan Academy
- Drawing Parallel and Perpendicular Lines – Khan Academy
- Virtual Manipulative:
- Draw lines – Think Central
CHAPTER 11: Squares and Rectangles
- IXL Skills
- Vocabulary: square, rectangle, right angle, parallel
- Videos:
- Classifying shapes – Khan Academy
- Classifying shapes by lines and angles – Khan Academy
- Virtual Manipulative:
CHAPTER 12: Area and Perimeter
- IXL Skills
- Vocabulary: length, width, composite figures
- Videos:
- Square units – LearnZillion
- Area of a rectangle – LearnZillion
- Find area by breaking into smaller rectangles – LearnZillion
- Transition from counting square units to the formula – Khan Academy
- Find the perimeter – LearnZillion
- Solving perimeter problems – LearnZillion
- Find perimeter of polygons – LearnZillion
- Area and Perimeter Dog Pen Word Problem – Khan Academy
- Comparing Area Word Problem – Khan Academy
- Virtual Manipulative:
- GeoBoard – Didax
- Area and Perimeter Explore – Toy Theater
- Online Games
CHAPTER 13: Symmetry
- IXL Skills
- Vocabulary: symmetry, lines of symmetry, rotation, rotational symmetry, symmetric shapes
- Videos:
- Intro to Reflective Symmetry – Khan Academy
- Symmetrical figures – Khan Academy
- Virtual Manipulative:
- Symmetry – Teacher LED
CHAPTER 14: Tessellations
- Vocabulary: tessellation, flip, rotate, slide, repeated shape
- Video:
- The unexpected math of origami – Youtube (just an interesting video)
- Virtual Manipulative:
- Pattern Blocks – Math Learning Center
- Tessellation – Think Central