What we're working on this week... |
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Unit 4 - Patterning
Classroom Success Criteria - Unit Goals
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I feel confident with:
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Sections of the Unit
Terminology of the Unit
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1) Relationship Between Number Patterns and Graphing
When we graph number patterns that increase or decrease by the same amount, we notice something really unique. This will help us understand the rest of the unit.
When we graph number patterns that increase or decrease by the same amount, we notice something really unique. This will help us understand the rest of the unit.
patterning._graphing_patterns_practice.docx | |
File Size: | 144 kb |
File Type: | docx |
2) Converting Number Patterns to Expressions
The first document shows you how to use the clues of a number pattern to create your algebraic expression. The other documents will give you extra practice taking number patterns and converting them to equations and graphs.
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3) Making Equations from Graphs
Without being given the original pattern, we can determine the expression that represents the pattern when given the graph. The 2 things you want to focus on are your y-intercept (= the b in the equation) and your slope (= the m in the equation). When we gather those pieces from the graph, we can create the equation. Remember, slope = rise over run. Watch the video for a helpful review of how to use the graph to create the equation.
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4) Making Graphs from Equations
Watch the first video or the first 3 minutes of the 2nd video to review how to graph a pattern when only given the equation. Then, you can practice graphing these equations by working through the worksheets.
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5) Word Problems
Recall, we can use y=mx+b to solve linear patterns in real life. We can look for clues in the problem to help make our equations:
The first file is the lesson we used in class to help us interpret the problems. The other files are various word problem packages that you can work through for practice.
- The m (slope) is the value that we would be repeatedly adding or subtracting in our situation.
- The b (y-intercept) is the initial amount OR the one-time charge.
The first file is the lesson we used in class to help us interpret the problems. The other files are various word problem packages that you can work through for practice.
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6. Rewriting Expressions in Slope-Intercept Form
There is valuable information in the y=mx+b form, so by re-arranging expressions to get y alone, we can better understand the linear expression. Remember, when moving terms to the other side of the equation, you need to do the opposite operation.
Here are some worksheets to help us practice this skill.
Here are some worksheets to help us practice this skill.
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Unit 3 - Fractions
Classroom Success Criteria - Unit Goals
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I feel confident with:
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Sections of the Unit
Review - Factors and Multiples
Understanding what common multiples are and knowing how to use factors and multiples can help us with the fractions unit.
Click on the button to watch a helpful video. There are 2 worksheets with answers that you can work on to practice more.
Understanding what common multiples are and knowing how to use factors and multiples can help us with the fractions unit.
Click on the button to watch a helpful video. There are 2 worksheets with answers that you can work on to practice more.
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1. Converting Between Fractions, Percents and Decimals
Here are some helpful videos to support our learning. Below are worksheets to practice this skill.
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2. Equivalent Fractions
Practice making fractions that represent the same amount by multiplying both the numerator and the denominator by the same value.
Practice making fractions that represent the same amount by multiplying both the numerator and the denominator by the same value.
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3. Comparing Fractions
Here is a link to a Khan Academy video to show how to compare fractions with different denominators.
Here is a link to some Khan Academy practice comparing fractions with different denominators.
Below are some worksheets to practice. |
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4. Adding Fractions
Click the button to watch an instructional video from Mr. J Math. There is also a link to a helpful Khan Academy video and if you click the Khan Academy Practice, you will find online practice that will check your answers for you. Below the button links are some worksheets that you can use to practice adding fractions with unlike denominators.
Click the button to watch an instructional video from Mr. J Math. There is also a link to a helpful Khan Academy video and if you click the Khan Academy Practice, you will find online practice that will check your answers for you. Below the button links are some worksheets that you can use to practice adding fractions with unlike denominators.
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5. Subtracting Fractions
Here are some videos to help remind you how to properly subtract fractions with unlike denominators. If you click on the Khan Academy Practice button, you will get some online problems that check your answers for you. Below the buttons are some worksheets that you can work through independently to practice the skill.
Here are some videos to help remind you how to properly subtract fractions with unlike denominators. If you click on the Khan Academy Practice button, you will get some online problems that check your answers for you. Below the buttons are some worksheets that you can work through independently to practice the skill.
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6. Simplifying Fractions
We've practiced simplifying fractions by finding the greatest common factor (a number that can be multiplied into each number in the fraction) and dividing both the numerator and the denominator by that value. |
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7. Multiplying Fractions
Watch the video for a reminder of how to multiply fractions. There are worksheets below to give you some extra practice. |
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8. Dividing Fractions
Watch the video for a review of how to divide fractions. There's also a song to help remind you of the rules - click the Dividing Song button to watch it. Below are worksheets to help you practice this new skill. |
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9. Improper Fractions and Mixed Numbers
Click on the button links to watch helpful videos reminding you how to convert between improper fractions and mixed numbers.
Click on the button links to watch helpful videos reminding you how to convert between improper fractions and mixed numbers.
10. All Operations with Mixed Numbers
Below are some extra worksheets to practice adding, subtracting, multiplying or dividing mixed numbers.
Remember the steps for solving:
Below are some extra worksheets to practice adding, subtracting, multiplying or dividing mixed numbers.
Remember the steps for solving:
Adding Mixed Numbers:
1. Add the whole numbers 2. Find common denominators for the fractions. 3. Add the numerators. 4. Simplify. |
Subtracting Mixed Numbers:
1. Convert to improper fractions 2. Find common denominators for the fractions. 3. Subtract the numerators. 4. Simplify. |
Multiplying Mixed Numbers:
1. Convert to improper fractions. 2. Multiply numerators. 3. Multiply denominators. 4. Simplify. |
Dividing Mixed Numbers:
1. Convert to improper fractions. 2. KCF. 3. Multiply the fractions. 4. Simplify. |
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Unit 2 - Measurement
Classroom Success Criteria - Unit Goals
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I feel confident with:
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Sections of the Unit
Unit Conversions
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Rectangle & Triangle Shape Review
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Irregular Shapes (Rectangles & Triangles)
Reminder:
Reminder:
- Separate the large shape into the fewest number of rectangles and triangles.
- Label each internal shape (#1, 2, 3 etc...)
- Solve for the area of each internal shape
- Add all of the areas together (remember units!)
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Re-arranging Equations (Rectangles & Triangles)
Reminder: we want to isolate the variable (unknown side length), so we bring all known numbers to one side of the equal sign. To bring things across the equal sign, they become the opposite operation.
Reminder: we want to isolate the variable (unknown side length), so we bring all known numbers to one side of the equal sign. To bring things across the equal sign, they become the opposite operation.
Circles
r = d/2 d = 2r C = Pi x d C = 2 x Pi x r Remember: 1. Select the equation that has the variable you are looking for. 2. Substitute in the numbers. 3. Solve the equation (remember to include units). *Sometimes you will need to re-arrange the equation to solve for the variables. |
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Extra sheets for more practice working with and re-arranging equations related to circles.
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Compound Shapes
Recall the steps: 1. Divide the shape into smaller, known shapes 2. Find all missing measurements. 3. Select the correct equations to use for each shape. 4. Substitute in the numbers for letters. 5. Solve the area for each shape. 6. Add all the shapes together. |
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Side Projects
Every now and then, the opportunity to experience Math in a unique light rises. These are chances to use problem solving skills or Math knowledge and skills in unique ways that connect with the curriculum, but don't necessarily align with our specific unit of study. If we are working on a Side Project, we are still working on the curriculum and will use these activities to assess student knowledge.
Side Project 1 - Pumpkin Explosion
Have you ever wondered how many elastic bands it would take to cause a pumpkin to explode? We are going to use Halloween as an excuse to find out. This side project will require us to measure various aspects of the pumpkins (height, circumference, thickness, mass) and compare these variables to the number of elastics required to cause the pumpkin to explode. Afterwards, we will graph the results to determine if there is a correlation between any of these characteristics and the number of elastics. |
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