Massachusetts State Standards: Number Sense and Operations

Everett Public Schools

Mapping Calendar Math Grade 4

2008 – 2009

The Math Curriculum Map is designed to be a guide for the teacher to use throughout the school year. It is not intended to be a day-to-day plan book covering the curriculum. The map is designed to keep the entire grade level on the same subject matter at approximately the same time. It is not the intention of the map to curtail teacher creativity. The teacher has the freedom to choose the selections, exercises, and outside resources that support alignment of the Math Curriculum with the Massachusetts Curriculum Frameworks. September’s Essential Questions

Massachusetts State Standards: Number Sense and Operations 4N1, 4N2, 4N10, 4N12, 4N14

Essential Questions:

1. How does place value change the value of a digit? 2. When are addition and subtraction used?

Mastery Skills:

1. Read and write numbers through hundred millions and identify the place values of digits. 2. Explore addition and subtraction patterns. 3. Add and subtract greater numbers and solve multiple-step problems. 4. Review adding and subtracting money and making change.

Higher Order Thinking Assessments:

1. Students will earn a perfect score on a Mad Minutes quiz in five minutes or less. 2. Each student will be given 9 cards with a random digit written on each. They will arrange the cards in an order of their choice to create a number. When they have the number in front of them, they will write out that number placing the commas in the correct spot. Then, students will write the number out in word form and in expanded form. When they finish with that number, students can mix up the cards to create a new number, and start again. October’s Essential Questions

Massachusetts State Standards: Measurement 4M3

1. Why is telling time important?

Mastery Skills:

1. Write times in different forms, estimate reasonable lengths of time for activities, find elapsed time, and read calendars.

1. Students will create a schedule of plane departures and arrivals. They will then decide the shortest time from each destination by using elapsed time. 2. Students will plan a vacation for the class. Using a calendar, they will decide when we will leave (date and time), how long we will stay, and when we will arrive home (date and time). The vacation plan will include out departure time, arrival time, and how long our actual traveling time was. November’s Essential Questions

Massachusetts State Standards: Number Sense and Operations 4N7, 4N8, 4N9, 4N10, 4N11, 4N12, 4N13, 4N14, 4N15

1. When is multiplication and division necessary in real world application?

Mastery Skills:

1. Know multiplication and division facts. 2. Distinguish between even and odd numbers 3. Solve 3 factors using multiplication. 4. Solve with 2 digit factors using multiplication. 5. Show basic facts and place value patterns to explore division patterns and to estimate quotients. 6. Solve 2 and 3 digit quotients. 7. Find the mean, divide money, and explore divisibility.

1. Through a variety of classroom games, students will master their multiplication facts. 2. Students will average their individual math grades to show they understand how to find mean and why it is important. 3. Students will earn a perfect score on a mad minute quiz in five minutes or less. December’s Essential Questions

Massachusetts State Standards: Number Sense and Operations 4N13, 4N15

1. How could you explain long division?

Mastery Skills:

1. Identify place value, estimation, and division by tens to extend your understanding of division to 2 digit numbers.

1. Students will reflect in the math journal how they would find how many boxes you would need to pack 174 toy crocodiles, if each box holds 48 toys. Students will use words, numbers, and pictures to represent their findings. January’s Essential Questions

Massachusetts State Standards: Number Sense and Operations 4N3, 4N4, 4N5, 4N18

1. How could you explain the parts of a fraction? 2. Why is it important to know how to add and subtract fractions?

Mastery Skills:

1. Students will be introduced to the concept of fractions as part of a whole. Name and write fractions, estimate fractional amounts of real-like objects, explore mixed numbers, and solve problems by making decisions. 2. Investigate fractions, equivalent fractions, ordering and comparing fractions, and simplest form fractions. 3. Show adding fractions with both like and unlike denominators. 4. Show subtracting fractions with both like and unlike denominators.

1. Students will take a survey of the sock colors in the class. They will find what fraction of the class is wearing socks. Of the sock wearers, find the fraction that shows how many students wear each color. Explain in your math journal what the numerator and denominator stands for in the survey. 2. Students will create fraction strips to show the amounts created when adding and subtracting fractions.

February’s Essential Questions

Massachusetts State Standards: Number Sense and Operations 4N5, 4N6

1. Why are decimals needed in the real world?

Mastery Skills

1. Identify place value, fractions, and comparing and ordering to extend understanding of decimals 2. Show estimation to extend your understanding of adding and subtracting decimals. 3. Apply your understanding of decimals to length, capacity, and mass in the metric system and will solve problems by making decisions.

1. Students will use a cross-country ski map with the metric distances recorded on the slopes. The children must ski the longest possible distance on the map. Reflect in your math journal how you decided on which route to ski by making a chart to show all of the distances in the same unit of measurement. March’s Essential Questions

Massachusetts State Standards: Geometry 4G1, 4G2, 4G3, 4G4, 4G5, 4G6, 4G7, 4G8, 4G9 Measurement 4M4 Data Analysis, Statistics, Probability 4D4, 4D5, 4D6

1. How are solids and polygons used in geometry? 2. How will knowing about probability make your life easier?

Mastery Skills:

1. Find the meaning of polygons 2. Find the meaning of solids 3. Find similar and congruent figures 4. Find triangles 5. Find different types of lines and line segments 6. Find the meaning of a quadrilateral and line symmetry 7. Find perimeter, area, and volume 8. Find likely and unlikely events, fairness, possible outcomes, probability, and predictions.

1. Students will go on a geometric scavenger hunt throughout the school to find all the areas where polygons and solids are used. 2. Students will create storyboard panels to represent rotations, translations, and reflection and how they relate to symmetry. 3. Students will create a swimming pool to determine the perimeter around the pool for fencing, the area needed for decorative gravel, and the volume of water needed to fill the pool. 4. Students will play the Rock, Paper, Scissors. Allow each player three turns and then create an organized list of the possible combinations the player may receive. April’s Essential Questions

Massachusetts State Standards: Measurement 4M1, 4M2, 4M5

1. Why is converting measurement important? 2. How would you measure distance?

Mastery Skills:

1. Find customary units of measurement for both weight and capacity. 2. Solve problems by making a table or finding a pattern, and explore algebra by using a balance scale as a visual tool for balancing number sentences. 3. Find customary linear measurement and how to measure in fractions. 4. Show how to relate inches, feet, yards, and miles

1. Using coupon fliers, students will find grocery items with labels of either capacity or weight. Students will reflect in their math journal the unit or capacity that appeared most often in the fliers and how they can convert the measurements into fractional parts. 2. Students will draw a map of a walking tour of the area near school or home. The total distance of the tour should be about a mile. Mark the beginning and the end of the tour. Mark and label the distances in yards between each point you label. May’s Essential Questions

Massachusetts State Standards: Data Analysis, Statistics, and Probability 4D1, 4D2, 4D3

1. How do you interpret a graph?

Mastery Skills:

1. Read and interpret pictographs, bar graphs, ordered pairs, line graphs, line plots, and stem and leaf plots. 2. Make bar graphs and line plots, find the range, median, and mode of data presented in tables, pictures and graphs.

1. Students will collect data, create a tally chart, and create the appropriate graph based on information gathered from their peers. June’s Essential Questions

Massachusetts State Standards: Patterns, Relations, and Algebra 4P1, 4P2, 4P4, 4P5

1. How does problem solving skills and logical reasoning help us in our daily lives?

Mastery Skills:

1. Apply reading skills and strategies in math to help access what is on the page as well as the ideas and relationships in the problem situations.

1. Ask students to create their own word problems. Switch with a partner and solve each other’s word problems.