Expansion Questions for Math Connects– The Big Ideas!

 

 Chapter 1 Big   Idea!   

How is place value used in our everyday life?

1-1 How do you use base ten blocks to make a twodigit number?
1-2 How does the place of a digit tell you the placevalue?
1-3 How does using logical reasoning help in solvingproblems?
1-4 How do you write numbers using words?
1-5 How do you estimate to find “how many”?
1-6 How do you use the number line to order numbers?
1-7 How do you compare numbers using <,>, or =?
1-8 How do you identify patterns and continue thepattern?
1-9 What clues help you choose a problem solvingstrategy?
1-10 What patterns do you see when you skip count?

 

 Chapter 2 Big   Idea!   

How   can you use addition to find out “how many”?

2-1 How do you know the sum will not change when youswitch the order of the addends?
2-2 How do you use the number line to count on?
2-3 How does acting out help in solving problems?
2-4 How do you think using doubles will help you solveaddition problems?
2-5 How can you use doubles to learn other addition facts?
2-6 How does making ten make it easier or harder to add?
2-7 How can you add numbers in different ways to simplifycolumn addition?
2-8 What clues help you choose a problem solving strategy?

 

Chapter 3 Big   Idea!

How do you use subtraction in the real world?

3-1 How do you use the number line to subtract?
3-2 What happens when you subtract all or 0?
3-3 How do you use double facts to subtract?
3-4 How does guess and check help you with problemsolving?
3-5 How do you use addition to help you find the difference?
3-6 What makes addition and subtraction inverse operations?
3-7 How do fact families help in solving addition andsubtraction problems?
3-8 What clues help in deciding which operation to use tosolve a problem?

Chapter 4  Big   Idea!

How can you show data collected   from a survey?

4-1 How do tally marks help you organize data?
4-2 How are picture graphs and tally charts different?
4-3 How do you use picture graphs to draw conclusions?
4-4 How does creating a table help solve problems?
4-5 How are bar graphs different from picture graphs?
4-6 How do you use bar graphs to draw conclusions?
4-7 How do you determine the probability of an event?
4-8 What clues help in deciding which operation to use tosolve a problem?

Chapter 5  Big Idea!

How does rounding numbers make addition easier in real world

problems?

5-1 How is   adding “tens” similar to adding basic facts?
5-2 Why is it important to learn how to count by 10’s?
5-3 How will working backward help solve multiplicationproblems?
5-4 How do you know if you have to regroup?
5-5 How do you show regrouping?
5-6 What steps do you follow when adding two digitnumbers?
5-7 How do you estimate sums?
5-8 How is adding 3 two digit numbers   like adding 2 twodigit numbers?
5-9 What clues help you to choose a problem solving strategy?

 

Chapter 6 Big Idea!  

How do we use subtraction in the real world?

6-1 How can you use single digit subtraction facts tosubtract 10’s.?
6-2 How do you use base 10 blocks to count back by tens?
6-3 Why do you sometimes have to regroup in order tosubtract?
6-4 How does writing a number sentence help whensolving problems?
6-5 When do you need to regroup in order to subtract?
6-6 What steps do you follow when regrouping forsubtraction?
6-7 Why does addition work as a check for subtraction?
6-8 What clues help you to choose a problem solvingstrategy?
6-9 How can rounding help when estimating the difference?

 

Chapter 7 Big Idea!

Why is it important to know the value of each coin and be able

to add them?

7-1 How is the cent symbol used to name the value of coins?
7-2 How do you order coins in order to count them?
7-3 Why is it helpful to put coins in order before countingthem?
7-4 How does “Acting It Out” help to solve problems?
7-5 How are dollar and cent signs different and alike?
7-6 How is adding money different than adding two digitnumbers?
7-7 How is subtracting money subtracting other two digitnumbers?
7-8 What clues help you to determine the best strategy forproblem solving?

Chapter 8  Big Idea!

Why is it important to understand temperature and time?

8-1 How do you read a thermometer?
8-2 How do you compare units of time measurement?
8-3 How do you tell time to the hour and the half hour?
8-4 How does it help to find a pattern in problem solving?
8-5 How do you use the minute hand to   tell time to thequarter hour?
8-6 How do you skip count by 5’s to tell time?
8-7 Why would someone want to collect temperature data?
8-8 What clues help you to determine the best strategy forproblem solving?

Chapter 9  Big Idea!

How do fractions help us do ordinary things everyday?

9-1 How are unit fractions alike?
9-2 How are the fractions ¼ and 2/8 alike?
9-3 How does drawing a picture help in problem solving?
9-4 Why does a fraction for the whole have the same numberon the top and bottom?
9-5 How do you know if a fraction is closer to 0, ½, or 1?
9-6 What does the fraction ¼ of a group mean?
9-7 How would you use a fraction to show part of a group?
9-8 What clues help you to determine the best strategy forproblem solving?

 

Chapter 10 Big Idea!

How would understanding place value help in estimating numbers

up to one thousand?

10-1 How would you show 3 digit numbers using base tenblocks?
10-2 How do you use a place value chart   to identify valuesof 3 digit numbers?
10-3 How can making a list help you solve problems?
10-4 How do  you write a number in expanded form from amodel?
10-5 How do  you read and write numbers to one thousand?
10-6 What clues help you to determine the best strategy forproblem solving?
10-7 How do you compare numbers using < , = , > ?
10-8 How do you use place value to order numbers?
10-9 How can you tell if the number pattern is countingby 100’s?

 

Chapter 11 Big Idea!  

Where do you see 2 and 3-dimensional figures in the real world?

11-1 What are three dimensional figures?
11-2 How can you describe three dimensional figures?
11-3 How can you identify a 2-dimensional figure?
11-4 How does looking for a pattern help in problem solving?
11-5 How does the number of sides & vertices determine a2 dimensional figure?
11-6 How do you compare figures?
11-7 How can you combine figures to form new figures?
11-8 What clues help you to determine the best strategy forproblem solving?
11-9 How do you find a point on a number line?
11-10 How do you locate points on a grid?

 

Chapter 12 Big   Idea!   

How do you use non-standard and standard units of measure?

12-1 How do you measure objects with nonstandard unitsof measure?
12-2 Why is it better to measure in inches, rather thanpaperclips?
12-3 How does guess and check help in solving problems?
12-4 How would you use a ruler to measure in inches?
12-5 How do you measure objects using metric measurement?
12-6 How do you estimate using metric measurement?
12-7 How do you determine the area using pattern blocks?
12-8 What   clues help you to determine the best strategy forproblem solving?

 

Chapter 13  Big Idea!   

How do we use measurement in everyday life?  

13-1 How can you use nonstandard units to measure capacity?
13-2 What is the difference between the amount a cup can holdand the amount a gallon can   hold?
13-3 How can acting it out help to solve a problem?
13-4 How can we estimate capacity using milliliters and liters?
13-5 How do we use nonstandard units to measure weight?
13-6 What is the difference between ounces and pounds?
13-7 What is the difference between a gram and kilogram?
13-8 What are the clues to help you solve the problem?

 

Chapter 14  Big Idea!  

Why is knowing addition and subtraction facts helpful in the

real world?

14-1 How can you add numbers in the hundreds?
14-2 How is three digit addition like two digit addition?
14-3 How is regrouping ones different from regrouping tens?
14-4 How does making a table help in problem solving?
14-5 When do you estimate?
14-6 Why can you use single-digit number facts to subtracthundreds?
14-7 How is subtracting 3-digit numbers like subtracting2-digit numbers?
14-8 How do you know when to regroup?
14-9 Why is it important to know how to round andestimate?
14-10 What clues help you to solve the problems?

Chapter 15 Big Idea!

How can the making of models help us to understand the world

around us?

15-1 How can making models for word problems help usunderstand the problem?
15-2 How can skip counting help you find the total when thereare equal groups?
15-3 How can   drawing a picture help you solve theproblem?
15-4 How does repeated addition help you understandmultiplication?
15-5 How can arrays help you multiply?
15-6 What can you do to share things equally?
15-7 What can you do to make equal groups?
15-8 What clues help you solve the problem?

 

Math Connects Chapter 14

Chapter 14- Solve Three-Digit Addition and Subtraction Problems

Summary

14-1 Add Hundreds:  I can use basic facts and mental math to add hundreds.

14-2 Regroup Ones:  I can find the sum of two three-digit numbers, regrouping ones.

14-3 Regroup Tens:  I can add three-digit numbers with and without regrouping.

14-4 PSS: Make a Table:  I can use make a table as a strategy to solve problems.hundreds add

14-5 Estimate Sums:  I can estimate the sum of three-digit addends by rounding.

14-6 Subtract Hundreds:  I can use basic facts and mental math to subtract hundreds.

14-7 Regroup Tens:  I can regroup tens to subtract three-digit numbers.

14-8 Regroup Hundreds:  I can regroup hundreds to subtract three-digit numbers.

14-9 Estimate Differences:  I can estimate the difference of three-digit numbers by rounding.

14-10 PSS: Choose a Strategy:   I can choose the best strategy to solve problems.

Math Connects Chapter 13

Chapter 13- Measure Capacity and Weight

Summary

13-1 Capacity: Nonstandard Units:  I can select and use nonstandard units to measure capacity.

Vocabulary:  Capacity:  the amount of dry or liquid material a container can hold.

Helpful lil' guy!

Helpful lil’ guy!

13-2 Cups and Gallons:  I can recognize and use models that approximate cups and gallons.

Vocabulary:  Cup:  a unit to measure capacity or how much something holds.  1 cup =8 ounces.  Gallon:  a liquid measure of capacity.  1 gallon= 4 quarts.

13-3 PSS: Act It Out:  I can use act it out as a strategy to solve problems.

13-4 Milliliters and Liters:  I can recognize and use models that approximate milliliters and liters.

Vocabulary:  Liter:  a metric unit of measure for volume or capacity.  1 liter =1000 milliliters.  Milliliter:  a metric unit used for measuring capacity.  1000 milliliters= 1 liter.

13-5 Weight: Nonstandard Units:  I can use nonstandard units to find weight.

Vocabulary:  Weight:  a measurement that tells how heavy an object is.

measurement13-6 Ounces and Pounds:  I can recognize and use models that approximate ounces and pounds.

Vocabulary:  Ounces:  a customary unit for measuring weight or capacity.  One CD weighs about 1 ounce.  Pound:  a customary unit for measuring weight or mass.  1 pound = 16 ounces.

13-7 Grams and Kilograms:  I can recognize and use models that approximate grams and kilograms.

Vocabulary:  Gram:  a metric unit for measuring mass.  Kilogram:  a metric unit for measuring mass.  1 kilogram= pair of men’s shoes.

13-8 PSS:  Choose a Strategy:  I can choose the best strategy to solve problems.

Math Connects Chapter 12

Chapter 12- Measure Length and Area

Summary

Nonstandard ways to measure

Nonstandard ways to measure

12-1 Nonstandard Units:  I can measure lengths using nonstandard units.

Vocabulary:  Nonstandard unit:  objects such as blocks, paper clips, crayons, and pencils that can be used to measure.  Measure:  to find the length, height, weight, capacity, or temperature using standard or nonstandard units.  Length:  how long or how far something is.

12-2 Measure Inches Using Models:  I can measure length using models that approximate inches.

Vocabulary:  Inch:  a customary unit for measuring length and height.  12 inches=1 foot.

12-3 PSS: Guess and Check:  I can use guess and check as a strategy to solve problems.

Comparing centimeters to inches

Comparing centimeters to inches

12-4 Use an Inch Ruler:  I can estimate and measure length using an inch ruler.

12-5 Measure Centimeters Using Models:  I can measure length using models that approximate centimeters.

Vocabulary:  Centimeter:  a metric unit of measurement used to find lengths and heights.

12-6 Use a Centimeter Ruler:  I can estimate and measure length using a centimeter ruler.

Dice, a marker, and graphing paper make a great game to understand area!

Dice, a marker, and graphing paper make a great game to understand area!

12-7 Understanding Area:  I can determine the area of a two-dimensional surface.

Vocabulary:  Area:  the space inside a shape or figure.

12-8 PSS:  Choose a Strategy:  I can choose the best strategy to solve problems.

Math Connects Chapter 11

Chapter 11- Understand Geometric Figures and Spatial Reasoning

Summary

3D figures

click to enlarge

11-1 Three-Dimensional Figures:  I can identify three dimensional geometric figures.

Vocabulary:  Three-dimension figure:  a solid figure with length, width, and height.  Sphere:  a solid figure that has the shape of a round ball.  Pyramid:  a solid figure with a square base and triangular shaped faces.  Cube:  a 3-dimensional figure in which every face is a square and every edge has the same length.  Rectangular prism:  a 3-dimensional figure with faces that are rectangles.  Cone:  a 3-dimensional figure that narrows to a point from a circular base.  Cylinder:  a solid figure shaped like a can.

11-2 Faces, Edges, and Vertices:  I can describe the faces, edges, and vertices of three-dimensional figures.

Vocabulary:  Face:  the flat part of a 3 dimensional figure.  Edge:  the line where two sides or faces meet.  Vertex (vertices):  a point on a 2- or 3-dimensional figure where two or more edges meet together.

2d figures

click to enlarge

11-3 Two-Dimensional Figures:  I can identify two-dimensional geometric figures.

Vocabulary:  Two-dimension figure:  a plane figure with only length and width.  Parallelogram:  a figure that has four sides.  Each pair of opposite sides are equal and parallel.  Hexagon:  a figure that has six sides.  Trapezoid:  a four-sided figure with only two opposite sides the same length.

11-4 PSS: Look for a Pattern:  I can use look for a pattern as a strategy to solve problems.

11-5 Sides and Vertices:  I can describe two dimensional figures using sides and vertices.

Vocabulary:  Side:  one of the line segments that make up a figure.

11-6 Compare Figures:  I can compare two-dimensional figures and three-dimensional figures.

11-7 Make New Figures:  I can put figures together to form new figures and take figures apart to make new figures.

11-8 PSS:  Choose a Strategy:  I can choose the best strategy to solve problems.

11-9 Locate Point on a Number Line:  I can use whole numbers to locate and name points on a number line.

candy coordinates

click to enlarge

11-10 Coordinate Graphs:  I can use a coordinate graph to locate objects.

Vocabulary:  Coordinate graph:  a graph with points to show data.

Math Connects Chapter 9

Chapter 9- Model Fractions

Summary

9-1 Unit Fractions:  I can identify equal parts of a whole from ½  to 1/12 .

Vocabulary:  Fraction:  a name for equal parts of a whole.  Equal parts: pieces that are the same size.   Whole:  a complete shape. Unit fraction: a fraction with 1 as the numerator (on top J).

fractions

This shows wholes and unit fractions. 4/4= 1 whole.
1/5 is not colored in, that is a unit fraction.

9-2 Other Fractions:  I can identify and name fractions with more than one equal part.

9-3 PSS: Draw a Picture:  I can use draw a picture as a strategy to solve problems.

9-4 Fractions Equal to 1:  I can identify fractions that show one whole.

9-5 Compare Fractions:  I can compare unit fractions using symbols.

9-6 Unit Fractions of a Group:  I can identify and write fractions that represent part of a group or set.

Vocabulary: Group:  A gathering of objects or living things.

9-7 Other Fractions of a Group:  I can identify and name fractions with more than one equal part of a group or set.

9-8 PSS:  Choose a Strategy:  I can choose the best strategy to solve problems.

Math Connects Chapter 6

Chapter 6- Model Two-Digit Subtraction

Summary

Great poem to help remember when to regroup.

Great poem to help remember when to regroup.

6-1 Subtract Tens:  I can use mental math and basic facts to subtract tens.

6-2 Count Back Tens and Ones:  I can count back by tens and ones to subtract.

6-3 Regroup Tens as Ones:  I can understand numbers with and without regrouping.

6-4 PSS: Write a Number Sentence:  I can use write a number sentence as a strategy to solve problems.

6-5 Subtract One-Digit Numbers from Two-Digit Numbers:  I can subtract one-digit numbers from two-digit numbers with and without regrouping.

6-6 Subtract Two-Digit Number:  I can subtract two-digit numbers with and without regrouping.

6-7 Check Subtraction:  I can check my subtraction by using addition.

6-8 PSS:  Choose a Strategy:  I can choose the best strategy to solve problems.

6-9 Estimate Differences:  I can estimate differences by rounding to the nearest tens.

Math Connects 2nd Chapter 5

Chapter 5- Model Two-Digit Addition

Summary

5-1 Add Tens:  I can use mental math and basic facts to add tens.

5-2 Count On Tens and Ones:  I can count on by tens and ones to add.

5-3 PSS: Work Backward:  I can use the work backward strategy to solve problems

Regrouping worksheet- click to enlarge and solve.

5-4 Regroup Ones as Tens:  I can regroup 10 ones as 1 ten.

Vocabulary:  Regroup:  to take apart a number to write it in a new way.

5-5 Add One-Digit Numbers and Two-Digit Numbers:  I can add one-digit numbers to two-digit numbers with and without regrouping.

5-6 Add Two-Digit Number:  I can add two-digit numbers with and without regrouping.

5-7 Estimate Sums:  I can estimate the sum of two-digit addends by rounding.

Rounding hundreds chart. Helps show to round up or down.

Rounding hundreds chart.
Helps show to round up or down.

Vocabulary:  Round:  to change the value of a number to one that is easier to work with.

5-8 Add Three Two-Digit Numbers:  I can add three two digit numbers.

5-9 PSS:  Choose a Strategy:  I can choose the best strategy to solve problems.

Math Connects 2nd Chapter 4

Chapter 4- Organize and Use Data Summary 4-1 Take a Survey:  I can use tally marks in a survey.  I can use and compare data. Vocabulary:  Survey:  collect data by asking people the same questions.  Tally marks: a mark used to record data collected in a survey.  Data:  information collected from a survey or experiment. 4-2 Picture Graphs:  I can make, read, and use data in a picture graph.

picture graph...click to enlarge and solve!

picture graph…click to enlarge and solve!

Vocabulary:  Picture graph:  a graph that has different pictures to show information collected.  Symbol:  something that stands for something else.  Example + is the symbol for addition.  Key:  tells what or how many each symbol stand for.

4-3 Analyze Picture Graphs:  I can draw conclusions and analyze questions based on picture graphs.

4-4 PSS: Make a Table:  I can use the make a table strategy to solve problems.

4-5 Bar Graphs:  I can make, read, and use data in a bar graph.

Vocabulary:  Bar graph:  a graph that uses bars to show data.

4-6 Analyze Bar Graphs:  I can draw conclusions and answer questions based on bar graphs.

4-7 Describe Events:  I can describe events as more likely or less likely to occur.

Bar graph--click and solve.  Which pet do the children like most?

Bar graph–click and solve.
Which pet do the children like most?

Vocabulary:  More likely:  an event that will probably happen.  Less likely:  an event that will probably not happen.

4-8 PSS:  Choose a Strategy:  I can choose the best strategy to solve problems.

Math Connects 2nd Chapter 3

Chapter 3- Apply Subtraction Concepts

Summary

3-1 Count Back to Subtract:  I can count back to find the difference.

fact familyVocabulary:  Count back:  on a number line with numbers, count from a higher number to a lower number.  Subtract:  to take away.  Difference:  the answer to a subtraction problem.

3-2 Subtract All and Subtract Zero:  I can subtract all or none to find the difference.

3-3 Use Doubles to Subtract:  I can use doubles facts to find the difference.

3-4 PSS: Guess and Check:  I can use guess and check to solve problems.

3-5 Relate Addition to Subtraction:  I can subtract from numbers through 20 using addition.   I can identify and write different ways to name the same number.

Vocabulary:  Related facts:  a collection of 3 numbers that make up addition and subtraction facts.  Inverse:  operations that undo each other.

Missing addend3-6 Missing Addend:  I can find the missing number in addition and subtraction sentences.

Vocabulary:  Missing Addend:  a number that is absent from an addition sentence.

3-7 Fact Families:  I can identify and write fact families.

Vocabulary:  Fact Family:  a group of related facts.

3-8 PSS:  Choose a Strategy:  I can choose the best strategy to solve problems.