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document.pdfMath Strategy Binder
Math Strategy Binder
Students can have this document printed out for study & revision purposes.
Rounding
Rounding
Steps for rounding whole numbers
Underline the place you are rounding to.
Circle the number to the RIGHT of the underlined digit.
If the circled number is 4 or less (0, 1, 2, 3, 4) keep the underlined number the same.
If the circled number is 5 or more, (5, 6, 7, ,8, or 9) increased the underlined number by adding +1.
Rewrite any number that comes after the underlined number as zero.
Rounding Practice
Rounding Practice
Watch the videos for review.
Complete the following on a sheet of paper for practice.
Part 1: Rounding to the Nearest Ten
Part 1: Rounding to the Nearest Ten
Round 148 to the nearest ten: __________
Round 672 to the nearest ten: __________
Round 835 to the nearest ten: __________
Round 1,749 to the nearest ten: __________
Round 9,852 to the nearest ten: __________
Part 2: Rounding to the Nearest Hundred
Part 2: Rounding to the Nearest Hundred
Round 356 to the nearest hundred: __________
Round 1,238 to the nearest hundred: __________
Round 9,627 to the nearest hundred: __________
Round 3,495 to the nearest hundred: __________
Round 6,894 to the nearest hundred: __________
Part 3: Rounding to the Nearest Thousand
Part 3: Rounding to the Nearest Thousand
Round 5,123 to the nearest thousand: __________
Round 12,874 to the nearest thousand: __________
Round 45,678 to the nearest thousand: __________
Round 98,365 to the nearest thousand: __________
Round 7,453 to the nearest thousand: __________
Part 4: Mixed Practice
Part 4: Mixed Practice
Round 29,684 to the nearest ten: __________
Round 54,321 to the nearest hundred: __________
Round 63,491 to the nearest thousand: __________
Round 98,765 to the nearest hundred: __________
Round 47,658 to the nearest ten: __________
Bonus Challenge: Word Problem
Bonus Challenge: Word Problem
A bakery produced 12,765 muffins in one week. Round this number to the nearest hundred and thousand.
Nearest hundred: __________
Nearest thousand: __________
A library has 53,928 books. How many books are there rounded to the nearest thousand? __________
MULTIPLICATION
DIVISION
Division
Division
Write the steps for division in your math notebook.
Line Graphs
Notes
Notes
1. What is a Graph?
A graph is a visual way to show data (information). It helps us understand patterns, trends, and compare things quickly.
2. Types of Graphs
Bar Graph: Uses bars of different lengths to compare amounts or values.
Line Graph: Shows how data changes over time, using a line that connects points.
Pictograph: Uses pictures or symbols to represent data.
Pie Chart: A circle divided into sections (slices) that show parts of a whole.
3. Key Parts of a Graph
Title: Tells what the graph is about.
Labels: Show what each axis or section represents (e.g., days, temperature).
Scale: Shows the numbers used to measure the data.
Data: The information being shown on the graph.
4. How to Read a Graph
Look at the title to know what the graph is showing.
Check the labels to understand what is being compared.
Read the scale to figure out the numbers.
Analyze the data by comparing bars, lines, or sections.
5. When to Use Graphs
Use a bar graph to compare different things (like favorite fruits).
Use a line graph to show changes over time (like temperature over a week).
Use a pictograph when you want to represent data with pictures (like counting cars).
Use a pie chart to show parts of a whole (like how you spend your day).
Adding and Subtracting Fractions
Steps for Subtracting Fractions
Steps for Subtracting Fractions
Steps for Adding Fractions
Steps for Adding Fractions
Order of Operations
Decimal Place Value
Homework
Homework
Expanding Decimals
Section 1: Write Each Number in Expanded Form
Write each number in expanded form.
56.42
103.078
7.206
89.501
620.09
40.307
5.809
132.4
Section 2: Write the Place Value of Each Digit
For each given number, identify the place value of the specified digit.
4 in 24.306
7 in 3.749
5 in 125.08
6 in 46.215
3 in 203.94
9 in 19.506
2 in 7.823
1 in 81.473
Rounding Decimals
Practice Rounding Decimals
Practice Rounding Decimals
Rounding decimals is a way to make numbers easier to work with by reducing the number of digits while keeping the value close to the original number.
Steps to Round Decimals:
Find the place value you are rounding to (e.g., tenths, hundredths, thousandths).
Look at the digit to the right of the place value you are rounding to:
If it is 5 or more, increase the rounding digit by 1.
If it is 4 or less, keep the rounding digit the same.
Replace all digits to the right of the rounding place with zeros (if rounding to a whole number) or drop them (if rounding to a decimal place).
Examples:
Round 3.276 to the nearest tenth:
Look at the hundredths place (7).
Since 7 is 5 or more, increase the tenths place (2) by 1.
The answer is 3.3.
Round 45.682 to the nearest hundredth:
Look at the thousandths place (2).
Since 2 is 4 or less, keep the hundredths place (8) the same.
The answer is 45.68.
Round 56.74 to the nearest whole number:
Look at the tenths place (7).
Since 7 is 5 or more, increase the ones place (6) by 1.
The answer is 57.
Quick Tip:
Think of rounding as finding the "closest number" to the value you're working with!
4o
Simple Steps for Multiplying Decimals
Simple Steps for Multiplying Decimals
1️⃣ Ignore the Decimal (For Now) – Multiply the numbers as if they were whole numbers.
Example: 4.2 × 3.5 → First, multiply 42 × 35
2️⃣ Multiply as Usual – Solve the multiplication problem.
42 × 35 = 1470
3️⃣ Count the Decimal Places – Count the total number of decimal places in both original numbers.
4.2 has 1 decimal place
3.5 has 1 decimal place
Total = 2 decimal places
4️⃣ Place the Decimal in the Answer – Move the decimal two places from the right.
1470 → 14.70
5️⃣ Check Your Answer – Make sure your answer makes sense by estimating.
4 × 3 = 12 (Close to 14.7, so the answer is reasonable!)
✅ Final Answer: 4.2 × 3.5 = 14.7
Angles
Watch the video!
Watch the video!
Practice a few examples below.
Understanding Circles
Write the following notes in your math notebook.
Write the following notes in your math notebook.
A circle is a round shape with no corners or straight sides. All points on the edge of a circle are the same distance from the center.
🟢 Parts of a Circle
🟢 Parts of a Circle
Center
The middle point of the circle.
Every point on the circle is the same distance from the center.
Radius
A line from the center to the edge (or boundary) of the circle.
Example: If the radius is 5 cm, every point on the edge is 5 cm from the center.
Diameter
A line that goes across the circle through the center.
It is the longest line in a circle.
The diameter is twice as long as the radius.
Formula: Diameter = 2 × Radius
Circumference
The distance all the way around the circle (like the perimeter of a circle).
Chord
A straight line that connects two points on the edge of the circle (but doesn’t go through the center).
Arc
A curved part of the circle.
Sector
A “slice” or part of a circle (like a piece of pie or pizza).
📏 Important Formulas (Introduction only)
📏 Important Formulas (Introduction only)
Diameter = 2 × Radius
Radius = Diameter ÷ 2
(You’ll learn more about circumference and area later.)
🧠 Remember!
🧠 Remember!
A circle is not a polygon.
The radius and diameter help us measure and understand the size of a circle.
A circle is a 2D shape with one continuous curved line.
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