Grade 6 Gifted Day 11 (MR RONEL TURQUESA)

STANDARD:

8.EEI.1 - Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a

power, product to a power, quotient to a power, zero power property, negative exponents) to

simplify numerical expressions that include integer exponents.

LEARNING TARGETS AND/OR I CAN STATEMENT:

I can… apply the laws of exponents to simplify expressions that include integer exponents

Essential Question:

What makes a strategy to solve a problem effective and efficient, and what makes the solution

reasonable?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below.

3. Complete all the activities.

Grade 6 Gifted Day 12 (MR RONEL TURQUESA)

STANDARD:

8.EEI.1 - Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a

power, product to a power, quotient to a power, zero power property, negative exponents) to

simplify numerical expressions that include integer exponents.

LEARNING TARGETS AND/OR I CAN STATEMENT:

I can… apply the laws of exponents to simplify expressions that include integer exponents

Essential Question:

What makes a strategy to solve a problem effective and efficient, and what makes the solution

reasonable?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below.

3. Complete all the activities.

Grade 6 Gifted Day 13 (MR RONEL TURQUESA)

STANDARD:

8.EEI.3 - Explore the relationship between quantities in decimal and scientific notation.

LEARNING TARGETS AND/OR I CAN STATEMENT:

I can… I can express very small and very large numbers in scientific notation.

Essential Question:

How do numbers relate and compare to one another in the real-world?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below.

3. Complete all the activities.

Grade 6 Gifted Day 14 (MR RONEL TURQUESA)

STANDARD:

8.EEI.3 - Express very large and very small quantities in scientific notation in the form a × 10^b = p

where 1 ≤ a < 10 and b is an integer. (b) Translate between decimal notation and scientific

notation.

LEARNING TARGETS AND/OR I CAN STATEMENT:

I can… I can translate between decimal notation and scientific notation. I can estimate and

compare the relative size

Essential Question:

How do numbers relate and compare to one another in the real-world?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below.

3. Complete all the activities.

Grade 6 Gifted Day 15 (MR RONEL TURQUESA)

STANDARD:

8.EEI.4 - Apply the concepts of decimal and scientific notation to solve real-world and mathematical

problems.

LEARNING TARGETS AND/OR I CAN STATEMENT:

I can.. multiply and divide scientific notation.

Essential Question:

How do numbers relate and compare to one another in the real-world?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below.

3. Complete all the activities.

Grade 6 Gifted Day 16 (MR RONEL TURQUESA)

STANDARD:

8.EEI.4 - Apply the concepts of decimal and scientific notation to solve real-world and mathematical

problems.

LEARNING TARGETS AND/OR I CAN STATEMENT:

I can.. solve problems involving multiplication and and division of scientific notation.

Essential Question:

How do numbers relate and compare to one another in the real-world?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below.

3. Complete all the activities.

Grade 6 Gifted Day 17 (MR. RONEL S. TURQUESA)

STANDARD:

8.GM.5 – Extend and apply previous knowledge of angles to properties of triangles, similar figures, and

parallel lines cut by a transversal.

LEARNING TARGETS AND/OR I CAN STATEMENT:

I can... Use formulas to find area of triangles, Quadrilaterals, and polygons

Essential Question: How can we use the area of triangles, squares and rectangles to determine the

area of triangles, trapezoids, and rhombus?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below.

3. Complete the “The Language of Geometry”

Grade 6 Grade Level and Accelerated Day 18 (MR. RONEL S. TIURQUESA)

STANDARD:

8.GM.9 - Solve real-world and mathematical problems involving volumes of cones, cylinders, and

spheres and the surface area of cylinders.

LEARNING TARGETS AND/OR I CAN STATEMENT:

I can... Find the surface area of cubes and prisms.

Essential Question: How can we construct 3-dimensional figures out of triangles and rectangles to

figure out the area? How can we use area of 2-dimensional figures to find the surface area of 3-

dimensional figure?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below.

3. Complete A KIM Chart, pick 10

SURFACE AREA VOCABULARY BUILDING (MATHCHING WORDS AND THEIR MEANING)

A B

prism a polyhedron with two congruent faces that lie in

parallel planes, where the other faces are

parallelograms.

bases congruent faces that lie in parallel planes

lateral faces parallelograms formed by connecting the

corresponding vertices of bases in a prism.

right prism a prism where each lateral edge is perpendicular

to both bases.

oblique prisms Prisms that have lateral edges that are not

perpendicular to the bases.

surface area of a polyhedron The sum of the areas of the faces.

lateral area of a polyhedron The sum of the areas of the lateral faces

net The two-dimensional representation of all of a

prism's faces.

cylinder A solid with congruent circular bases that lie in

parallel planes.

right cylinder A cylinder where the segment joining the centers

of the bases is perpendicular to the bases.

lateral area of a cylinder The area of a cylinder's curved surface and equal

to the product of the circumference and the

height.

surface area of a cylinder Equal to the sum of the lateral area and the areas

of the two bases.

Theorem: Surface Area of a Right Prism S = 2B + Ph, where B is the area of a base, P is the

perimeter of a base, and h is the height.

Theorem: Surface Area of a Right Cylinder S = 2B + Ch, where B is the area of a base, C is the

circumference of a base, r is the radius of a base,

and h is the height.

pyramid A polyhedron in which the base is a polygon and

the lateral faces are triangles with a common

vertex.

lateral edge The intersection of two lateral faces of a pyramid.

base edge The intersection of the base of a pyramid and a

lateral face.

altitude or height The perpendicular distance between the base and

the vertex

regular pyramid This has a regular polygon for a base and its

height meets the base at its center.

slant height of a regular pyramid The altitude of any lateral face.

circular cone This has a circular base and a vertex that is not in

the same plane as the base.

right cone The height meets the base at its center

slant height of a right cone The distance between the vertex and a point on

the base edge

lateral surface of a cone all segments that connect the vertex with points

on the base edge

Theorem: Surface Area of a Regular Pyramid S = B +1/2(Pl), where B is the area of the base, P is

the perimeter of the base, and l is the slant height

Theorem: Surface Area of a Right Cone S = (pi)r-squared + (pi)rl, where r is the radius of

the base and l is the slant height

Grade 6 Gifted Day 19 (MR.RONEL S. TURQUESA)

STANDARD:

8.GM.9 - Solve real-world and mathematical problems involving volumes of cones, cylinders, and

spheres

LEARNING TARGETS AND/OR I CAN STATEMENT:

I Can... Compute volume by using visual models

Essential Question: Does finding volume require a 2-D or 3-D figure?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below (pick 5 each page)

3. Complete Volume (Words)

Grade 6 Gifted Day 20 (MR. RONEL S. TURQUESA)

STANDARD:

8.EEI.7 - Extend concepts of linear equations and inequalities in one variable to more complex multi-

step equations and inequalities in real world and mathematical situations

LEARNING TARGETS AND/OR I CAN STATEMENT:

I can... Solve for a solution set that will make an equation true; Understand how to write expressions

using real world situations; Use inequalities to compare expressions.

Essential Question: How can we use inequalities to compare algebraic expressions? How can we use

a pan model to develop the conceptual understanding of solving equations involving one step? How can

we use equations, tables, and graphs, to represent and solve real-world problems?

RESOURCES: No additional resources needed. However, all answers should be written on a separate

sheet of paper

LEARNING ACTIVITIES AND/OR EXPERIENCES

1. Complete at least 3 topics of your ALEKS pathway. (if available)

2. Review attached notes and complete the practice problems below

3. Study all problems completed