Area and Circumference of Circle- WS2

Circle Problems: Area & Circumference Practice (Part 2)

9) A student is using a hula hoop with a diameter of 80 cm.

1. How many meters does the hula hoop travel in one complete rotation?
   Convert to meters: 80 cm = 0.8 m

   Circumference: $3.14 \times 0.8 = 2.512 \text{ m}$

   Answer: 2.512 meters
2. If the student spins the hula hoop 25 times, what is the total distance the edge of the hoop travels?
   Calculate: $2.512 \times 25 = 62.8 \text{ m}$

   Answer: 62.8 meters

Area and Circumference of Circle- WS1

Circle Problems: Area & Circumference Practice (Part 1)

1) The Grade 7 class is having a pizza party! Mr. Jones ordered a giant circular pizza with a diameter of 60 cm.

1. What is the circumference of this delicious pizza? Show your work.
   Formula: $C = \pi d$

   Substitute: $C = 3.14 \times 60 \text{ cm}$

   Calculate: $C = 188.4 \text{ cm}$

   Answer: 188.4 cm
2. If each student needs at least 75 cm² of pizza, how many students can this one giant pizza feed? Show your work.
   Radius: $r = 60/2 = 30 \text{ cm}$

   Area: $3.14 \times 30^2 = 2826 \text{ cm}²$

   Students: $2826 ÷ 75 ≈ 37.68$

   Answer: 37 students

Area and Circumferdnce of Circle- WS1

Circle Problems: Area & Circumference Practice

1) The Grade 7 class is having a pizza party! Mr. Jones ordered a giant circular pizza with a diameter of 60 cm.

1. What is the circumference of this delicious pizza? Show your work.
2. If each student needs at least 75 cm2 of pizza, how many students can this one giant pizza feed? Show your work.

Area and Circumference of Circle- WS1 Solutions

Step-by-Step Solutions: Area and Circumference of Circles

This page provides detailed solutions for various problems involving the calculation of the area and circumference of circles. We will use the following key formulas and the approximation $\pi \approx 3.14$.

• Circumference ($C$) using diameter ($d$): $C = \pi d$
• Circumference ($C$) using radius ($r$): $C = 2 \pi r$
• Area ($A$) using radius ($r$): $A = \pi r^2$
• Relationship: $d = 2r$ or $r = d/2$

Reading- 4G1

🌟 Lila's Special Helper Chart

Lila loved seeing gold stars on her school projects, so she had a bright idea. "Mom, can I make a helper chart for chores?" she asked. Her mom smiled. "Great idea! Let's start small. How about setting the table for dinner?"

Lila drew a chart with seven boxes, one for each day of the week. Every night, after she carefully placed forks, plates, and cups around the table, her mom added a shiny star. By Wednesday, Lila had three stars. But when her little brother spilled juice all over the table, Lila groaned. "Now I have to clean and set the table again!"

Combining like terms- 1

Adding and Subtracting Polynomials Worksheet

Results

Reading- 3G1

🐕 The Great Puppy Rescue Mission

While playing in Sparkle Park, Mia and Max heard soft whimpering under a big oak tree. They found a brown puppy with a star-shaped collar! The tag read: "Name: Cooper, Owner: Mrs. Smith".

Reading- 2G1

🌱 The Great Garden Mystery

In Sunnyville School's garden, the tomato plants drooped and sunflowers wilted. "We need to investigate!" cried Zara. The Garden Squad searched for clues.

First, they found dry soil. Then chewed leaves! Liam shouted "Pests!" Mia discovered the compost bin was empty. Finally, Kai spotted a broken water pipe!

Reading Comrehension- 2G5

Greenfield Earth Day Initiative

At Greenfield Elementary School, the students were excited about the upcoming Earth Day celebration. The school had planned various activities to promote environmental awareness. Emma, a fifth-grader, was particularly enthusiastic about the event. She had always been passionate about protecting the environment and wanted to make a difference.

Reading Comprehension- 1G5

Bullying and Kindness

Sarah was new to Maplewood Elementary School and felt anxious about making new friends. She had recently moved to the town and everything felt unfamiliar. One sunny afternoon, during recess, she noticed a group of students gathered around a boy named Alex. They were teasing him, calling him hurtful names, and mocking his clothes. Alex looked very upset and helpless.

Reading Comprehension- 1G1

🚚 The Sharing Truck Story

Max brought his new red truck to the park. He wouldn't let anyone play with it. "My truck!" he said. Mia asked nicely, but Max shook his head.

Then... OH NO! The truck got stuck in a tree! 🎄 Mia helped with her jump rope. Max smiled and said, "Let's play together!" They built an awesome ramp and shared the truck all afternoon. 🌞

Vectors Explained

MCV4U: Complete Vector Guide

1. Vector Fundamentals

1.1 Geometric vs Algebraic Vectors

Geometric: Directed line segment \( \overrightarrow{AB} \)

Algebraic: \( \mathbf{v} = \langle v_x, v_y, v_z \rangle \)

From \( A(1,2) \) to \( B(4,6) \): \( \mathbf{v} = \langle 3,4 \rangle \)

2. Vector Operations

How to apply function transformations?

Complete Lesson: Function Transformation Order of Operations

1. General Rule: Inside vs. Outside Transformations

Transformations are split into two groups:

• Inside the function (horizontal transformations): Affect \( x \)-values
• Outside the function (vertical transformations): Affect \( y \)-values

2. Order of Operations

Horizontal Transformations (applied first, in reverse order)

1. Stretch/compression by \( \frac{1}{|b|} \)

   \( f(2x) \) compresses horizontally by \( \frac{1}{2} \)

2. Reflection if \( b < 0 \)

   \( f(-x) \) reflects over \( y \)-axis

3. Horizontal shift by \( h \)

   \( f(x - 3) \) shifts right 3 units