Mathquest: 5 年生から 6 年生の数学への移行。

**Week 1: Fractions and Decimals**

**Day 1 (Monday): Understanding Fractions**
- Common Core Objective: 5.NF.1 - Add and subtract fractions with unlike denominators
- Topic: Introduction to fractions and fraction models
- Example questions: 
  - What is a fraction? 
  - How can you represent a fraction using a model? 
  - How do you add and subtract fractions with unlike denominators? 

**Day 2 (Wednesday): Multiplying and Dividing Fractions**
- Common Core Objective: 5.NF.4 - Multiply fractions by whole numbers and vice versa
- Topic: Multiplying and dividing fractions 
- Example questions: 
  - How do you multiply a fraction by a whole number? 
  - How do you divide a fraction by a whole number? 
  - How do you simplify a fraction? 

**Day 3 (Friday): Decimals**
- Common Core Objective: 5.NBT.3 - Read, write, and compare decimals to thousandths
- Topic: Introduction to decimals 
- Example questions: 
  - What is a decimal? 
  - How do you read and write decimals? 
  - How do you compare decimals? 

**Week 2: Ratios, Proportions, and Percentages**

**Day 4 (Monday): Ratios**
- Common Core Objective: 6.RP.1 - Understand the concept of a ratio and use ratio language to describe a ratio relationship
- Topic: Introduction to ratios 
- Example questions: 
  - What is a ratio? 
  - How do you write a ratio in simplest form? 
  - How do you use ratios to compare quantities? 

**Day 5 (Wednesday): Proportions**
- Common Core Objective: 6.RP.3 - Use ratio and rate reasoning to solve real-world and mathematical problems
- Topic: Solving proportions 
- Example questions: 
  - How do you solve a proportion? 
  - How do you use proportions to solve real-world problems? 
  - How do you use proportions to scale up or down? 

**Day 6 (Friday): Percentages**
- Common Core Objective: 6.RP.3 - Use ratio and rate reasoning to solve real-world and mathematical problems
- Topic: Introduction to percentages 
- Example questions: 
  - What is a percentage? 
  - How do you write a percentage as a fraction or decimal? 
  - How do you solve percentage problems? 

**Week 3: Geometry**

**Day 7 (Monday): Lines, Angles, and Shapes**
- Common Core Objective: 5.G.1 - Use a pair of perpendicular number lines, called axes, to define a coordinate system
- Topic: Introduction to geometry and lines 
- Example questions: 
  - What is a point, line, and plane? 
  - What is an angle? 
  - How do you classify triangles and quadrilaterals? 

**Day 8 (Wednesday): Perimeter and Area**
- Common Core Objective: 6.G.1 - Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes
- Topic: Perimeter and area of two-dimensional figures 
- Example questions: 
  - What is perimeter? 
  - How do you find the perimeter of a polygon? 
  - What is area? 
  - How do you find the area of a rectangle and a triangle? 

**Day 9 (Friday): Volume and Surface Area**
- Common Core Objective: 6.G.2 - Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism
- Topic: Volume and surface area of three-dimensional figures 
- Example questions: 
  - What is volume? 
  - How do you find the volume of a rectangular prism? 
  - What is surface area? 
  - How do you find the surface area of a rectangular prism?


**Week 4:**

**Day 10 (Monday): Integers and the Coordinate Plane**
- Common Core Objective: 6.NS.5 - Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
- Topic: Integers and the coordinate plane
- Example questions:
  - What are integers?
  - What is the difference between positive and negative integers?
  - How do you add and subtract integers?
  - What is the coordinate plane?
  - How do you plot points on a coordinate plane?

**Day 11 (Wednesday): Equations and Inequalities**
- Common Core Objective: 6.EE.7 - Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers.
- Topic: Equations and inequalities
- Example questions:
  - What is an equation?
  - How do you solve equations of the form x + p = q and px = q?
  - What is an inequality?
  - How do you solve inequalities of the form x + p < q and px > q?

**Day 12 (Friday): Ratios and Proportions**
- Common Core Objective: 6.RP.3 - Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
- Topic: Ratios and proportions
- Example questions:
  - What is a ratio?
  - How do you simplify ratios?
  - What is a proportion?
  - How do you solve proportions?


**Week 5:**

**Day 13 (Monday): Statistics and Probability**
- Common Core Objective: 6.SP.2 - Understand that a set of data collected to answer a statistical question has a distribution that can be described by its center, spread, and overall shape.
- Topic: Statistics and probability 
- Example questions: 
  - What is data?
  - How do you collect and organize data?
  - What is mean, median, and mode? 
  - What is range and interquartile range? 
  - What is probability? 

**Day 14 (Wednesday): Geometric Measurement**
- Common Core Objective: 6.G.4 - Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
- Topic: Geometric measurement 
- Example questions: 
  - What is the surface area of a cube, rectangular prism, or triangular prism? 
  - How do you find the surface area of a three-dimensional figure using nets? 

**Day 15 (Friday): Review**
- Common Core Objective: Review of all previous topics 
- Topic: Review 
- Example questions: 
  - Questions covering all previous topics, such as: 
    - What is the difference between a fraction and a decimal? 
    - How do you add and subtract fractions with unlike denominators? 
    - How do you find the volume of a rectangular prism? 
    - How do you solve equations and inequalities? 
    - What is probability?


**Week 6: Introduction to Algebra**

**Day 16 (Monday): Algebraic Expressions**
- Common Core Objective: 6.EE.2 - Write, read, and evaluate expressions in which letters stand for numbers.
- Topic: Algebraic expressions
- Example questions:
  - What is an algebraic expression?
  - How do you write and evaluate algebraic expressions?
  - How do you translate verbal expressions into algebraic expressions?

**Day 17 (Wednesday): Transformations**
- Common Core Objective: 6.G.3 - Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
- Topic: Transformations
- Example questions:
  - What are translations, reflections, and rotations?
  - How do you perform a translation, reflection, or rotation on a shape on the coordinate plane?
  - How do you find the length of a side of a polygon on the coordinate plane?

**Day 18 (Friday): Review and Assessment**
- Common Core Objective: Review of all previous topics and assessment of student understanding
- Topic: Review and assessment
- Example questions:
  - Questions covering all previous topics, such as:
    - What is the surface area of a cube, rectangular prism, or triangular prism?
    - How do you find the surface area of a three-dimensional figure using nets?
    - How do you solve equations and inequalities?
    - What is probability?
  - Assessment of student understanding of all previous topics.