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Standards in this domain:
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
CCSS.Math.Content.6.NS.A.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?.
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?.
Compute fluently with multi-digit numbers and find common factors and multiples.
CCSS.Math.Content.6.NS.B.2
Fluently divide multi-digit numbers using the standard algorithm.
Fluently divide multi-digit numbers using the standard algorithm.
CCSS.Math.Content.6.NS.B.3
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
CCSS.Math.Content.6.NS.B.4
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2)..
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2)..
Apply and extend previous understandings of numbers to the system of rational numbers.
CCSS.Math.Content.6.NS.C.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.
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.
CCSS.Math.Content.6.NS.C.6
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
CCSS.Math.Content.6.NS.C.6.a
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.
CCSS.Math.Content.6.NS.C.6.b
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
CCSS.Math.Content.6.NS.C.6.c
Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
CCSS.Math.Content.6.NS.C.7
Understand ordering and absolute value of rational numbers.
Understand ordering and absolute value of rational numbers.
CCSS.Math.Content.6.NS.C.7.a
Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right.
Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right.
CCSS.Math.Content.6.NS.C.7.b
Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write -3 oC > -7 oC to express the fact that -3 oC is warmer than -7 oC.
Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write -3 oC > -7 oC to express the fact that -3 oC is warmer than -7 oC.
CCSS.Math.Content.6.NS.C.7.c
Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.
Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.
CCSS.Math.Content.6.NS.C.7.d
Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than -30 dollars represents a debt greater than 30 dollars.
Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than -30 dollars represents a debt greater than 30 dollars.
Devonsphere Express 1 6 20
CCSS.Math.Content.6.NS.C.8
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Devonsphere Express 1 6 24
| Chipset | Form Factor | Memory Slots / Maximum | Memory Frequency (MHz) | Integrated Graphics Output | PCIe x16 Slots | Multi-GPU Support | PCIe x4 | PCIe x1 | PCI | SATA 6Gb/s (incl. SATA Express) | SATA Express | M.2 | eSATA | Wi-Fi | Bluetooth V4.0 Bluetooth V3.0+HS | Gigabit Ethernet | 4-Pin PWM Fan Headers (incl. CPU fans) | Thunderbolt™ 2 Support | USB 3.0 (Rear/Internal) | USB 2.0 (Rear/Internal) | Audio Codec | Optical S/PDIF out | DTS Support | 5-Way Optimization | TPU | EPU | CPU Power | Fan Xpert 3 | Turbo App | 5x Protection | Wi-Fi GO! | HomeCloud | Networking Software | USB BIOS Flashback | USB 3.0 Boost | USB Charger+ | EZ XMP | MemOK! | Extreme Engine Digi+ III | Sonic Radar II | SSD Secure Erase | RAMDisk | CPU Level Up | ROG Connect | TUF Fortifier | Thermal Armor | Thermal Radar 2 | Dust Defender | ASUS Dr.Power |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Z97-DELUXE (NFC & WLC) | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3300(O.C.) | DP, mDP, HDMI | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 (x16 size) | 4 | 0 | 10 | 2 | 1 (PCIe/SATA) | 0 | Wi-Fi 802.11ac (2.4/5 GHz) | 1x Intel® I218-V 1x Intel® I211-AT | 6 | ThunderboltEX II/Dual included | 6/4 | 4/4 | Realtek® ALC1150 | DTS Ultra PC II DTS Connect | DIGI+ 16-phase | Turbo LAN | - | - | - | - | - | - | - | - | - | - | - | Z97-DELUXE (NFC & WLC) | |||||||||||||
Z97-DELUXE | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3300(O.C.) | DP, mDP, HDMI | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 (x16 size) | 4 | 0 | 10 | 2 | 1 (PCIe/SATA) | 0 | Wi-Fi 802.11ac (2.4/5 GHz) | 1x Intel® I218-V 1x Intel® I211-AT | 6 | Compatible with ThunderboltEX II/Dual | 6/4 | 4/4 | Realtek® ALC1150 | DTS Ultra PC II DTS Connect | DIGI+ 16-phase | Turbo LAN | - | - | - | - | - | - | - | - | - | - | - | Z97-DELUXE | |||||||||||||
Z97-PRO (Wi-Fi ac) | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3200(O.C.) | DP, HDMI, DVI, VGA | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 (x16 size) | 4 | 0 | 8 | 1 | 1 (PCIe/SATA) | 0 | Wi-Fi 802.11ac (2.4/5 GHz) | 1x Intel® I218-V | 6 | Compatible with ThunderboltEX II | 4/4 | 2/4 | Realtek® ALC1150 | DTS Ultra PC II DTS Connect | DIGI+ 12-phase | Turbo LAN | - | - | - | - | - | - | - | - | - | - | - | Z97-PRO (Wi-Fi ac) | |||||||||||||
Z97-PRO | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3200(O.C.) | DP, HDMI, DVI, VGA | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 (x16 size) | 4 | 0 | 8 | 1 | 1 (PCIe/SATA) | 0 | - | - | 1x Intel® I218-V | 6 | Compatible with ThunderboltEX II | 4/4 | 2/4 | Realtek® ALC1150 | DTS Ultra PC II DTS Connect | DIGI+ 12-phase | Remote GO! | Turbo LAN | - | - | - | - | - | - | - | - | - | - | - | Z97-PRO | |||||||||||
Z97-A | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3200(O.C.) | DP, HDMI, DVI, VGA | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 (x16 size) | 2 | 2 | 6 | 1 | 1 (PCIe) | 0 | - | - | 1x Intel® I218-V | 6 | Compatible with ThunderboltEX II | 4/2 | 2/6 | Realtek® ALC892 | DTS Ultra PC II DTS Connect | DIGI+ 8-phase | Remote GO! | Turbo LAN | - | - | - | - | - | - | - | - | - | - | - | - | - | Z97-A | |||||||||
Z97-AR | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3200(O.C.) | DP, HDMI | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 (x16 size) | 2 | 2 | 6 | 1 | 1 (PCIe) | 0 | - | - | 1x Intel® I218-V | 6 | Compatible with ThunderboltEX II | 4/2 | 2/6 | Realtek® ALC892 | DTS Ultra PC II DTS Connect | DIGI+ 8-phase | Remote GO! | Turbo LAN | - | - | - | - | - | - | - | - | - | - | - | - | - | Z97-AR | |||||||||
Z97-C | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3200(O.C.) | HDMI, DVI, VGA | 1 | AMD CrossFireX™ | 1 (x16 size) | 2 | 3 | 6 | 1 | 1 (PCIe/SATA) | 0 | - | - | 1x Intel® I218-V | 4 | - | 4/2 | 2/6 | Realtek® ALC892 | - | - | - | - | DIGI+ 6-phase | - | - | Turbo LAN | - | Ai Charger | - | - | - | - | - | - | - | - | - | - | - | - | Z97-C | ||||
Z97-K/CSM | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3200(O.C.) | HDMI, DVI, VGA | 1 | AMD CrossFireX™ | 1 (x16 size) | 2 | 2 | 6 | 0 | 1 (PCIe/SATA) | 0 | - | - | 1x Realtek® 8111GR | 3 | - | 4/2 | 2/6 | Realtek® ALC887 | - | - | - | - | DIGI+ 4-phase | - | - | Turbo LAN | - | Ai Charger | - | - | - | - | - | - | - | - | - | - | - | - | - | Z97-K/CSM | |||
Z97M-PLUS | Intel® Z97 | mATX | 4x DDR3 / 32 GB | DDR3 3200(O.C.) | HDMI, DVI, VGA | 1 | AMD CrossFireX™ | 1 (x16 size) | 0 | 2 | 6 | 0 | 1 (PCIe/SATA) | 0 | - | - | 1x Intel® I218-V | 3 | - | 4/2 | 2/6 | Realtek® ALC887 | - | - | - | - | DIGI+ 4-phase | - | - | - | - | Ai Charger | - | - | - | - | - | - | - | - | - | - | - | - | Z97M-PLUS | ||||
Z97I-PLUS | Intel® Z97 | M-ITX | 2x DDR3 / 16 GB | DDR3 3200(O.C.) | DP, HDMI, DVI, VGA | 1 | - | 0 | 0 | 0 | 4 | 0 | 1 (PCIe/SATA) | 0 | Wi-Fi 802.11ac (2.4/5 GHz) | 1x Intel® I218-V | 3 | - | 4/2 | 4/2 | Realtek® ALC892 | DTS Ultra PC II DTS Connect | - | - | DIGI+ 6-phase | - | Turbo LAN | - | - | - | - | - | - | - | - | - | - | - | - | Z97I-PLUS | |||||||||
MAXIMUS VII FORMULA | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3300(O.C.) | HDMI, DP | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 | 3 | 0 | 10 | 2 | 1 (PCIe/SATA) | 0 | Wi-Fi 802.11ac (2.4/5 GHz) | 1x Intel® I218-V | 8 | Compatible with ThunderboltEX II | 6/2 | 2/4 | SupremeFX Formula 2014 | DTS Connect | - | DIGI+ 8+2-phase | - | GameFirst III | - | - | - | - | - | MAXIMUS VII FORMULA | |||||||||||||||||
MAXIMUS VII HERO | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3200(O.C.) | HDMI, DVI, VGA | 2 | NVIDIA SLI® AMD CrossFireX™ | 0 | 3 | 0 | 8 | 0 | 1 (PCIe) | 0 | - | - | 1x Intel® I218-V | 6 | - | 4/2 | 2/4 | SupremeFX 2014 | DTS Connect | - | DIGI+ 8+2-phase | - | - | - | GameFirst III | - | - | - | - | - | - | MAXIMUS VII HERO | |||||||||||||
MAXIMUS VII GENE | Intel® Z97 | mATX | 4x DDR3 / 32 GB | DDR3 3200(O.C.) | HDMI | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 | 0 | 0 | 8 | 0 | 1 (PCIe) | 0 | - | - | 1x Intel® I218-V | 5 | - | 4/2 | 4/2 | SupremeFX Impact 2 | DTS Connect | - | DIGI+ 8+2-phase | - | - | - | GameFirst III | - | - | - | - | - | MAXIMUS VII GENE | ||||||||||||||
MAXIMUS VII IMPACT | Intel® Z97 | M-ITX | 2x DDR3 / 32 GB | DDR3 3300(O.C.) | HDMI, DP | 1 | - | 0 | 0 | 0 | 4 | 0 | 1 (PCIe x4) | 0 | Wi-Fi 802.11ac (2.4/5 GHz) | 1x Intel® I218-V | 4 | - | 4/2 | 4/2 | SupremeFX Impact 2 | DTS Connect | - | DIGI+ 8+2-phase | - | GameFirst III | - | - | - | - | - | MAXIMUS VII IMPACT | |||||||||||||||||
SABERTOOTH Z97 MARK 1 | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 1866 | DP, HDMI | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 (x16 size) | 3 | 0 | 8 | 1 | 0 | 0 | - | - | 1x Intel® I218-V 1x Realtek® 8111GR | 6 | Compatible with ThunderboltEX II | 4/4 | 4/4 | Realtek® ALC1150 | - | - | - | - | DIGI+ 8+2-phase | Thermal Radar 2 | - | Remote GO! | Turbo LAN | - | - | - | - | - | - | - | - | SABERTOOTH Z97 MARK 1 | |||||||||
SABERTOOTH Z97 MARK 2 | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 1866 | DP, HDMI | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 (x16 size) | 3 | 0 | 6 | 0 | 0 | 0 | - | - | 1x Intel® I218-V | 6 | Compatible with ThunderboltEX II | 4/4 | 4/4 | Realtek® ALC1150 | - | - | - | - | DIGI+ 8+2-phase | Thermal Radar 2 | - | Remote GO! | Turbo LAN | - | - | - | - | - | - | - | - | - | - | - | SABERTOOTH Z97 MARK 2 | ||||||
GRYPHON Z97 | Intel® Z97 | mATX | 4x DDR3 / 32 GB | DDR3 1866 | DP, HDMI, DVI | 2 | NVIDIA SLI® AMD CrossFireX™ | 1 (x16 size) | 1 | 0 | 6 | 0 | 0 | 0 | - | - | 1x Intel® I218-V | 6 | Compatible with ThunderboltEX II | 4/2 | 4/4 | Realtek® ALC892 | - | - | - | - | DIGI+ 8+2-phase | Thermal Radar 2 | - | Remote GO! | Turbo LAN | - | - | - | - | - | - | - | - | - | - | - | GRYPHON Z97 | ||||||
Z97-WS | Intel® Z97 | ATX | 4x DDR3 / 32 GB | DDR3 3300 (O.C.) | DP, mDP, HDMI | 4 | 4-Way/3-Way/Quad-GPU SLI, 4-Way/3-Way/Quad-GPU CrossFireX | 1 | 2 | 0 | 8 | 2 | 1 (PCIe/SATA) | 1 | - | - | 1x Intel® I210 1x Intel® I218 | 6 | Compatible with ThunderboltEX II/Dual | 6/4 | 2/4 | Realtek® ALC1150 | DTS Ultra PC II DTS Connect | DIGI+ 8+2-phase | Remote GO! | Turbo LAN | - | - | - | - | - | - | - | - | - | - | Z97-WS | ||||||||||||
| Chipset | Form Factor | Memory Slots / Maximum | Memory Frequency (MHz) | Integrated Graphics Output | PCIe x16 Slots | Multi-GPU Support | PCIe x4 | PCIe x1 | PCI | SATA 6Gb/s | SATA Express | M.2 | eSATA | Wi-Fi | Bluetooth V4.0 Bluetooth V3.0+HS | Gigabit Ethernet | 4-Pin PWM Fan Headers (incl. CPU fans) | Thunderbolt™ 2 Ports | USB 3.0 (Rear/Internal) | USB 2.0 (Rear/Internal) | Audio Codec | Optical S/PDIF out | DTS Support | 5-Way Optimization | TPU | EPU | CPU Power | Fan Xpert 3 | Turbo App | 5x Protection | Wi-Fi GO! | HomeCloud | Networking Software | USB BIOS Flashback | USB 3.0 Boost | USB Charger+ | EZ XMP | MemOK! | Extreme Engine Digi+ III | Sonic Radar II | SSD Secure Erase | RAMDisk | CPU Level Up | ROG Connect | TUF Fortifier | Thermal Armor | Thermal Radar 2 | Dust Defender | ASUS Dr.Power |
