Represent+&+Interpret+Data

3.MD.3. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs. //For example, draw a bar graph in which each square in the bar graph might represent 5 pets.// 3.MD.4. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters. || ===‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**=== 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * ===**Common Core Standards**===
 * Represent and interpret data.**
 * 3.MD.3 3.MD.4**
 * ===‍‍‍‍‍‍**Information Technology Standard**===

**3.TT.1 Use technology tools and skills to reinforce classroom concepts and activities.**
|| ===‍‍‍‍‍‍**Revised Bloom's Level of thinking**=== Can the student generate new ideas, products, or ways of viewing things, putting elements together to form a coherent or functional whole, reorganize elements into a new pattern of structure? (designing, generating, constructing, planning, producing, inventing) ||
 * 3.MD.3 3.MD.4** **Creating**

‍‍‍‍‍‍**I can...**

 * 3.MD.3 I can represent data on scaled picture and bar graphs to solve one- and two-step problems. **
 * Pose questions that can be used to collect data.
 * Collect data from daily lives.
 * Create scaled picture graphs including title, categories, category label, key, and data.
 * Analyze data collected to choose an appropriate graph type and scale for graphing.
 * Interpret data and relate back to original question.
 * Read and solve one-step “how many more” and “how many less problems” using a scaled bar graph.
 * Read and solve two-step “how many more” and “how many less problems” using a scaled bar graph.
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs.
 * <span style="font-family: Arial,sans-serif;">3.MD.4 I can c <span style="font-family: Arial,sans-serif; font-size: 10pt;">ollect measurement data using rulers marked with halves and fourths of an inch. Represent the data by creating line plots marked with whole number, halves, or quarters. **
 * <span style="font-family: Arial,sans-serif; font-size: 9.5pt;">Identify the location of a half and quarter on a number line between any two consecutive whole numbers. e.g. 0-1, 4-5
 * <span style="font-family: Arial,sans-serif; font-size: 9.5pt;">Create a number line and/or ruler that shows inches; segment inches to show half and/or quarter inches.
 * <span style="font-family: Arial,sans-serif; font-size: 9.5pt;">Measure objects to the nearest half or quarter inch
 * <span style="font-family: Arial,sans-serif; font-size: 9.5pt;">Collect measurement data and determine an appropriate scale for displaying data on a line plot (see unpacking).
 * <span style="font-family: Arial,sans-serif; font-size: 9.5pt;">Display measurement data on a <span style="color: #002cf9; font-family: Arial,sans-serif; font-size: 9.5pt;">line plot <span style="font-family: Arial,sans-serif; font-size: 9.5pt;">.


 * <span style="font-family: Arial,sans-serif; font-size: 9.5pt;">Analyze measurement data; relate data back to the original question.
 * <span style="font-family: Arial,sans-serif; font-size: 9.5pt;">Pose questions that can be answered by collected measurement data.
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.

‍‍‍‍‍‍**Essential Vocabulary**
Teacher Glossary


 * 3.MD.3 || 3.MD.4 ||
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Picture graph **  **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Bar graph **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Data **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Vertical **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Horizontal **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Key **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Scale **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Label **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Category **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Category label **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Axis **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Title **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Scale label **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Interval **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Interpret **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Represent **  ||  **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Half **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Fourth **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Quarter **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Line plot **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Whole number **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Measurement **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Interval **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Scale interval **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Length **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Unit **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Fraction **   **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Horizontal scale **  ||

‍‍‍‍‍‍**Sample Assessments**

 * 1) **Formal and informal teacher made assessments using RBT question stems.**
 * 2) **District predictive assessments.**
 * 3) **Standardized tests.**
 * 4) **Observations, data collection (student data books), and conferences.**
 * 5) **Scholastic Math Inventory**
 * 6) **Pre Assessments power point ideas**

‍‍‍‍‍‍**Differentiation**

 * 1) **Learning style surveys (student interest and teacher created).**
 * 2) **Small group settings based on skill levels.**
 * 3) **Peer tutors.**
 * 4) **Tiered assignments.**
 * 5) **Flexible grouping**
 * 6) **Centers (finding, identifying, creating patterns with numbers, week by week essentials games)**
 * 7) **Learning Contracts**
 * 8) **Choice boards (create math games, make flashcards)**
 * 9) **Investigations website**
 * 10) Illuminations site

‍‍‍‍‍‍**Intervention:**

 * **Scholastic Math Inventory**
 * **Math Tutors**
 * **One on one direct instruction**
 * **Math based web sites ([|www.multiplication.com], [|www.abcya.com], [|www.ixl.com],[|www.sheppardssoftware.com]www.mrsgoldsclass.comwww.mathplayground.com**
 * **Intervention sites**: (JennyLendElementary) www.mathwire.com
 * **Investigations Math site**
 * **Illuminations site**

‍‍‍‍‍‍**Enrichment:**

 * 1) **Math based web sites ([|www.multiplication.com],[| www.abcya.com], [|www.ixl.com], [|www.sheppardssoftware.com])**
 * 2) **Scholastic Math Inventory**
 * 3) **Group projects (creating games, make flashcards, pose questions)**
 * 4) **Illuminations site**

Envisions Math Student pages 3.MD.4
Investigations Math Websites Manipulatives (hands-on instruction) data grapher half inch ruler, quarter inch ruler graphing paper of various sizes